konten excel : Flipping Pennies

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    Flipping Pennies

    What are the chances of getting a heads on a flip of a penny?

    answer

    Do you think that 10 flips will give you 5 heads each time you flip 10 times?

    So let's examine some multiple flips as given on the tabs below.As you will see, this has a similarity to radioactive decay.

    The spreadsheet require the Analysis ToolPak

    Click on the tabs to navigate. Instructions are given on the last tab.

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    o be loaded.

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    10 Flips

    Number of Heads = 4 %Error = -20 Press the F9 key to recalculate

    number H/T

    1

    0 tails

    2 1 heads

    3 1 heads

    4 1 heads

    5 0 tails

    6 0 tails

    7 1 heads

    8 0 tails 0 = tails9 0 tails 1 = heads

    10 0 tails

    Sinex 2005

    0

    1

    1 2 3 4 5 6 7 8 9 1 0

    http://academic.pgcc.edu/~ssinexhttp://academic.pgcc.edu/~ssinex
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    100 Flips

    Number of Heads = 53 %Error = 6 Press the F9 key to recalculate

    number H/T

    1 1

    2 1

    3 1

    4 1

    5 1

    6 0

    7 0

    8 1 0 = tails

    9 1 1 = heads

    10 1

    11 1

    12 1

    13 014 0

    15 0

    16 1

    17 0

    18 1

    19 0

    20 0

    21 0

    22 1

    23 0 Sinex 2005

    24 0

    0

    1

    1 3 5 7 9 11 13 15 17 19 21 23 2 5 2 7 29 31 33 3 5 37 3 9 4 1 4 3 45 4 7 49 51 53 5 5 57 5 9 6 1 6 3 65 6 7 69 71 73 7 5 7 7 79 81 83 8 5 87 8 9 9 1 9 3 95 9 7 99 101

    http://academic.pgcc.edu/~ssinexhttp://academic.pgcc.edu/~ssinex
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    25 1

    26 1

    27 0

    28 129 1

    30 1

    31 1

    32 1

    33 0

    34 1

    35 1

    36 1

    37 1

    38 0

    39 1

    40 1

    41 0

    42 1

    43 1

    44 1

    45 0

    46 0

    47 0

    48 1

    49 0

    50 0

    51 0

    52 0

    53 0

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    54 1

    55 0

    56 1

    57 058 0

    59 1

    60 0

    61 1

    62 0

    63 1

    64 0

    65 0

    66 1

    67 0

    68 1

    69 1

    70 1

    71 0

    72 0

    73 1

    74 1

    75 0

    76 0

    77 1

    78 1

    79 0

    80 1

    81 0

    82 0

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    83 1

    84 0

    85 0

    86 087 1

    88 1

    89 1

    90 0

    91 1

    92 0

    93 0

    94 0

    95 0

    96 0

    97 1

    98 1

    99 1

    100 1

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    1000 Flips

    Number of Heads = 496 %Error = -0.8 Press th

    number H/T

    1 0

    2 1

    3 1

    4 05 1

    6 1

    7 1

    8 0

    9 1

    10 1

    11 012 0

    13 0

    14 0

    15 1

    16 0

    17 0

    18 1

    19 0

    20 1

    21 0

    22 1

    0

    1

    1 51 101 151 201 251 301 351 401 451 501 551 601 651

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    36 0

    37 1

    38 039 1

    40 0

    41 1

    42 0

    43 0

    44 0

    45 0

    46 1

    47 1

    48 1

    49 1

    50 1

    51 152 0

    53 0

    54 0

    55 0

    56 1

    57 0

    58 159 1

    60 0

    61 1

    62 0

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    76 0

    77 1

    78 079 1

    80 0

    81 0

    82 0

    83 0

    84 0

    85 0

    86 0

    87 1

    88 1

    89 0

    90 0

    91 092 0

    93 1

    94 1

    95 0

    96 0

    97 0

    98 199 0

    100 0

    101 1

    102 0

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    116 1

    117 1

    118 1119 0

    120 1

    121 1

    122 1

    123 0

    124 1

    125 1

    126 0

    127 0

    128 1

    129 0

    130 0

    131 1132 0

    133 1

    134 1

    135 1

    136 0

    137 1

    138 0139 1

    140 0

    141 1

    142 0

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    156 1

    157 1

    158 0159 1

    160 0

    161 1

    162 1

    163 0

    164 1

    165 1

    166 0

    167 0

    168 1

    169 1

    170 1

    171 1172 1

    173 0

    174 1

    175 0

    176 1

    177 0

    178 0179 0

    180 0

    181 0

    182 1

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    196 1

    197 0

    198 0199 1

    200 1

    201 1

    202 0

    203 0

    204 0

    205 1

    206 0

    207 1

    208 1

    209 0

    210 1

    211 1212 0

    213 0

    214 0

    215 0

    216 1

    217 1

    218 1219 1

    220 1

    221 1

    222 0

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    236 1

    237 1

    238 0239 0

    240 0

    241 1

    242 0

    243 1

    244 1

    245 1

    246 0

    247 0

    248 1

    249 1

    250 0

    251 0

    252 1

    253 0

    254 1

    255 1

    256 1

    257 1

    258 1259 1

    260 0

    261 0

    262 1

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    276 1

    277 1

    278 0279 1

    280 0

    281 0

    282 1

    283 1

    284 1

    285 1

    286 1

    287 0

    288 1

    289 1

    290 1

    291 1

    292 0

    293 0

    294 0

    295 0

    296 0

    297 0

    298 1299 1

    300 1

    301 0

    302 1

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    316 0

    317 0

    318 0319 1

    320 0

    321 0

    322 0

    323 0

    324 1

    325 0

    326 0

    327 0

    328 1

    329 1

    330 1

    331 0

    332 0

    333 1

    334 1

    335 0

    336 0

    337 0

    338 1339 1

    340 1

    341 0

    342 0

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    356 0

    357 0

    358 0359 1

    360 1

    361 1

    362 0

    363 1

    364 1

    365 0

    366 0

    367 1

    368 0

    369 0

    370 1

    371 1

    372 0

    373 0

    374 0

    375 1

    376 1

    377 1

    378 1379 1

    380 0

    381 0

    382 1

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    396 1

    397 1

    398 1399 0

    400 1

    401 0

    402 0

    403 1

    404 1

    405 0

    406 0

    407 1

    408 0

    409 0

    410 0

    411 1

    412 0

    413 0

    414 0

    415 1

    416 0

    417 0

    418 1419 0

    420 0

    421 0

    422 0

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    436 0

    437 1

    438 0439 0

    440 1

    441 1

    442 1

    443 0

    444 1

    445 1

    446 0

    447 0

    448 1

    449 0

    450 1

    451 0

    452 1

    453 0

    454 0

    455 1

    456 0

    457 0

    458 0459 1

    460 1

    461 0

    462 1

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    476 1

    477 0

    478 1479 0

    480 1

    481 1

    482 0

    483 1

    484 1

    485 1

    486 0

    487 0

    488 0

    489 1

    490 1

    491 1

    492 0

    493 0

    494 1

    495 0

    496 0

    497 0

    498 0499 0

    500 0

    501 0

    502 1

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    516 1

    517 1

    518 0519 1

    520 1

    521 0

    522 0

    523 1

    524 0

    525 1

    526 0

    527 1

    528 1

    529 0

    530 1

    531 0

    532 0

    533 0

    534 1

    535 0

    536 0

    537 0

    538 0539 0

    540 1

    541 1

    542 1

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    556 1

    557 0

    558 1559 1

    560 1

    561 1

    562 0

    563 0

    564 1

    565 1566 1

    567 1

    568 0

    569 0

    570 0

    571 1

    572 0

    573 1

    574 1

    575 1

    576 0

    577 1

    578 1579 0

    580 1

    581 1

    582 0

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    596 1

    597 0

    598 0599 1

    600 1

    601 1

    602 1

    603 1

    604 0

    605 0606 0

    607 1

    608 1

    609 0

    610 1

    611 0

    612 1

    613 1

    614 0

    615 1

    616 1

    617 0

    618 1619 0

    620 0

    621 0

    622 0

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    636 0

    637 0

    638 0639 0

    640 1

    641 0

    642 1

    643 1

    644 1

    645 0646 1

    647 0

    648 0

    649 1

    650 0

    651 0

    652 0

    653 1

    654 0

    655 0

    656 0

    657 1

    658 0659 1

    660 1

    661 1

    662 0

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    676 1

    677 0

    678 0679 1

    680 0

    681 0

    682 0

    683 1

    684 0

    685 1686 0

    687 1

    688 1

    689 1

    690 0

    691 0

    692 0

    693 0

    694 0

    695 1

    696 1

    697 1

    698 0699 1

    700 1

    701 1

    702 0

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    716 0

    717 1

    718 0719 1

    720 1

    721 0

    722 1

    723 0

    724 0

    725 0726 1

    727 1

    728 1

    729 0

    730 0

    731 0

    732 0

    733 1

    734 1

    735 0

    736 0

    737 1

    738 1739 1

    740 1

    741 0

    742 0

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    756 1

    757 1

    758 1759 0

    760 1

    761 1

    762 0

    763 0

    764 1

    765 0766 1

    767 0

    768 0

    769 1

    770 1

    771 0

    772 0

    773 0

    774 0

    775 0

    776 1

    777 0

    778 1779 0

    780 1

    781 1

    782 1

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    796 1

    797 0

    798 0799 1

    800 0

    801 0

    802 0

    803 1

    804 0

    805 0806 1

    807 1

    808 1

    809 1

    810 1

    811 1

    812 0

    813 1

    814 1

    815 0

    816 0

    817 0

    818 0819 1

    820 1

    821 1

    822 0

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    836 0

    837 1

    838 0839 0

    840 1

    841 0

    842 0

    843 1

    844 0

    845 0846 1

    847 1

    848 1

    849 0

    850 1

    851 1

    852 1

    853 0

    854 1

    855 0

    856 1

    857 1

    858 0859 0

    860 0

    861 1

    862 0

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    876 0

    877 0

    878 1879 0

    880 1

    881 0

    882 0

    883 0

    884 1

    885 0886 0

    887 0

    888 0

    889 0

    890 1

    891 1

    892 1

    893 1

    894 1

    895 1

    896 1

    897 0

    898 1

    899 1

    900 0

    901 0

    902 0

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    916 0

    917 0

    918 1919 0

    920 0

    921 1

    922 0

    923 1

    924 1

    925 0926 0

    927 1

    928 0

    929 0

    930 0

    931 0

    932 1

    933 1

    934 1

    935 0

    936 0

    937 1

    938 0

    939 0

    940 1

    941 1

    942 1

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    956 0

    957 0

    958 1959 0

    960 1

    961 1

    962 0

    963 1

    964 1

    965 1966 0

    967 1

    968 0

    969 0

    970 1

    971 1

    972 0

    973 1

    974 1

    975 1

    976 1

    977 0

    978 0

    979 1

    980 0

    981 1

    982 0

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    996 0

    997 1

    998 0999 1

    1000 1

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    e F9 key to recalculate

    01 751 801 851 901 951

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    10,000 Flips

    Number of Heads = 5024 %Error = 0.48 Press th

    number H/T-1 H/T-2 H/T-3 H/T-4 H/T-5 H/T-6 H/T-7 H/T-8

    1 0 0 0 0 1 0 1 1

    2 0 0 1 0 1 1 1 1

    3 1 0 1 0 1 1 0 1

    4 1 0 0 0 0 0 1 1

    5 0 1 0 0 0 0 1 0

    6 0 1 0 1 0 1 0 1

    7 0 1 0 0 1 0 0 1

    8 0 1 1 1 1 0 0 0

    9 0 0 0 1 1 0 0 0

    10 0 0 1 0 0 1 0 0

    11 0 0 1 0 1 0 0 0

    12 0 1 0 1 1 0 1 1

    13 1 0 0 1 1 1 0 1

    14 1 1 1 0 0 0 0 0

    15 1 1 1 0 1 1 0 1

    16 1 1 1 1 1 1 1 1

    17 1 0 1 1 0 0 0 1

    18 1 1 0 0 1 0 0 119 1 0 1 0 1 1 0 1

    20 0 0 0 1 0 0 0 0

    21 1 1 1 0 0 0 1 1

    22 1 1 1 1 1 1 0 0

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    36 1 0 1 0 0 1 0 0

    37 1 1 0 1 1 0 1 0

    38 1 1 1 0 0 1 1 039 1 1 0 0 1 1 1 1

    40 1 0 0 1 0 1 1 1

    41 1 1 0 0 0 0 0 0

    42 1 1 0 0 1 1 1 0

    43 1 1 0 0 0 1 0 0

    44 0 0 1 1 0 0 1 1

    45 0 1 0 1 1 0 1 146 0 0 1 0 0 0 0 1

    47 0 0 0 1 0 1 0 0

    48 1 0 1 1 0 1 1 1

    49 0 0 0 0 0 0 0 0

    50 0 1 0 0 1 0 0 1

    51 1 1 1 1 1 0 0 1

    52 1 0 0 1 0 1 0 1

    53 1 0 1 0 1 0 0 1

    54 0 0 0 0 0 0 0 1

    55 1 0 0 0 0 0 1 1

    56 0 1 0 1 1 0 1 0

    57 0 0 1 1 0 0 1 0

    58 1 1 1 1 0 0 0 0

    59 0 1 0 1 0 0 1 1

    60 0 0 0 1 0 1 1 0

    61 0 0 0 0 0 0 0 1

    62 1 1 1 0 0 0 1 0

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    76 0 1 1 0 1 1 0 1

    77 0 0 0 0 1 0 1 1

    78 1 0 0 1 1 1 0 179 0 1 0 1 0 1 1 0

    80 0 1 0 0 0 0 1 0

    81 1 0 1 0 1 0 1 0

    82 1 1 0 1 0 0 1 1

    83 0 0 0 0 0 1 0 0

    84 0 0 0 0 0 0 1 1

    85 0 1 1 1 0 0 0 186 1 0 1 1 1 1 1 1

    87 0 1 0 1 0 1 0 0

    88 0 1 1 1 1 0 0 0

    89 1 1 1 1 1 0 1 1

    90 1 0 0 1 1 0 1 1

    91 0 0 1 0 1 1 1 0

    92 0 0 0 1 1 1 1 0

    93 0 0 1 1 1 0 1 0

    94 0 1 0 1 0 0 1 1

    95 0 1 0 1 1 0 1 1

    96 0 1 0 1 0 0 0 0

    97 1 1 0 0 0 0 1 0

    98 0 1 0 0 0 0 1 1

    99 0 1 1 1 0 1 1 1

    100 1 0 0 1 1 0 1 1

    101 0 0 1 0 1 0 1 1

    102 1 1 1 1 0 0 0 0

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    116 0 1 0 1 1 1 0 1

    117 1 0 0 1 1 1 1 0

    118 0 0 0 1 1 0 1 0119 0 1 1 1 1 1 0 1

    120 0 0 0 1 0 1 1 1

    121 0 0 1 0 1 1 1 0

    122 0 0 1 1 0 1 0 0

    123 0 0 0 0 1 0 0 0

    124 0 0 0 1 0 1 0 0

    125 0 1 1 1 1 1 1 0126 1 0 0 0 0 0 0 0

    127 1 1 1 1 0 1 1 0

    128 1 1 1 1 1 1 1 1

    129 1 1 1 1 0 1 1 1

    130 0 1 0 0 1 1 1 1

    131 0 0 1 0 0 0 1 1

    132 1 0 1 0 0 1 0 1133 0 1 0 0 0 0 1 0

    134 1 1 0 0 1 1 0 0

    135 1 1 1 1 1 0 1 0

    136 0 0 0 0 1 1 1 1

    137 1 0 1 1 0 0 0 1

    138 0 0 1 0 1 0 1 0

    139 0 0 1 1 1 0 1 1

    140 1 1 0 0 1 1 1 1

    141 0 0 1 1 0 1 0 0

    142 0 1 0 0 0 1 0 0

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    156 1 0 1 0 0 1 0 0

    157 1 0 0 1 0 1 1 0

    158 1 0 1 1 0 1 1 1159 1 1 0 1 1 1 0 1

    160 0 1 0 0 0 0 1 0

    161 0 1 0 0 1 1 0 1

    162 0 0 0 1 1 0 1 0

    163 1 1 0 1 0 1 0 0

    164 0 1 1 0 1 1 1 1

    165 1 0 1 0 1 0 0 0166 0 1 1 1 0 1 0 1

    167 1 1 0 0 0 1 1 0

    168 1 1 1 0 0 1 0 1

    169 0 1 1 1 1 1 0 0

    170 0 1 1 1 1 1 1 0

    171 1 0 1 0 1 1 0 0

    172 1 1 0 0 0 0 0 0173 0 0 1 1 0 1 1 0

    174 1 1 0 0 0 1 1 0

    175 1 1 0 1 0 0 0 1

    176 1 1 0 1 1 0 1 1

    177 0 0 0 1 1 0 1 1

    178 0 0 0 1 0 1 0 0

    179 1 0 0 1 1 1 1 1

    180 1 0 1 0 1 1 1 0

    181 0 0 0 1 0 0 0 0

    182 1 0 0 1 0 0 1 1

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    196 0 1 1 0 0 0 0 1

    197 1 0 1 1 0 0 0 1

    198 1 0 1 0 0 0 0 1199 1 0 0 1 0 1 0 0

    200 0 0 1 1 0 0 0 1

    201 1 0 1 0 1 0 0 1

    202 0 1 0 1 1 1 1 1

    203 1 0 0 1 1 1 1 1

    204 1 1 0 1 1 0 0 0

    205 0 1 1 1 1 0 0 0206 1 1 1 1 1 1 0 0

    207 1 0 0 0 1 0 0 0

    208 0 1 0 0 0 0 1 0

    209 1 0 0 1 0 0 0 0

    210 1 0 0 0 1 1 0 0

    211 1 0 1 1 0 1 0 1

    212 0 1 0 1 0 1 0 0213 1 0 1 1 0 0 0 1

    214 1 1 1 1 1 0 1 1

    215 1 0 0 0 0 1 0 1

    216 1 0 0 0 0 0 1 1

    217 1 1 0 0 0 1 0 1

    218 0 1 0 1 1 1 1 0

    219 0 0 0 0 0 0 1 0

    220 0 0 1 0 1 1 1 0

    221 1 1 0 1 0 0 1 0

    222 1 0 1 0 1 0 1 1

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    236 1 1 1 1 1 1 1 0

    237 0 0 0 0 0 0 1 1

    238 1 1 1 1 1 1 1 0

    239 0 0 0 1 1 1 0 1

    240 1 0 0 0 1 1 1 1

    241 0 1 1 1 0 0 1 1

    242 0 1 1 0 0 1 0 0

    243 1 0 0 0 0 0 1 1

    244 1 0 0 1 0 0 1 1

    245 1 1 1 1 0 1 1 0246 0 1 1 1 1 1 0 0

    247 0 0 1 1 0 0 0 0

    248 1 1 1 0 1 1 0 1

    249 0 1 0 1 0 1 0 0

    250 0 0 0 0 1 1 0 1

    251 1 0 0 1 0 1 0 0

    252 0 1 0 1 0 0 1 0253 1 0 1 0 0 1 0 1

    254 0 0 1 1 0 0 0 0

    255 0 0 0 1 1 0 0 0

    256 0 1 0 0 0 0 0 1

    257 0 1 0 1 0 0 0 1

    258 1 1 1 0 0 0 0 1

    259 1 0 1 1 1 0 0 1

    260 1 1 1 1 1 1 1 0

    261 0 0 0 0 0 1 1 1

    262 1 1 0 1 0 0 1 1

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    276 1 0 0 0 0 0 0 1

    277 1 1 1 0 0 1 1 1

    278 1 1 1 1 1 0 0 1

    279 0 0 0 0 0 0 1 1

    280 1 0 1 0 1 0 1 0

    281 0 1 0 0 0 1 0 1

    282 0 1 1 0 0 1 0 0

    283 0 1 1 1 0 1 0 1

    284 1 0 0 1 1 0 1 0

    285 0 0 1 1 0 0 1 1286 0 1 1 0 0 1 0 0

    287 0 0 1 0 0 1 0 1

    288 0 1 0 0 1 1 1 0

    289 1 1 1 1 1 1 0 0

    290 1 0 0 0 0 1 0 0

    291 0 0 1 1 0 1 0 1

    292 1 1 0 0 0 1 0 0293 1 0 1 0 0 0 1 0

    294 0 0 0 1 0 1 0 0

    295 0 0 1 0 1 1 0 0

    296 1 0 1 0 0 0 0 0

    297 0 1 1 0 0 1 1 0

    298 1 1 0 1 0 1 0 1

    299 0 0 0 0 0 1 1 0

    300 0 0 1 1 1 0 1 1

    301 0 1 0 1 0 0 1 1

    302 1 1 1 0 1 1 0 1

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    316 0 1 0 1 1 1 0 0

    317 0 1 1 0 0 0 1 0

    318 1 1 0 1 1 1 1 1

    319 0 1 0 1 0 0 0 1

    320 1 1 1 0 0 0 0 0

    321 0 1 1 0 0 1 0 1

    322 0 0 1 1 0 1 1 0

    323 0 1 0 1 1 0 1 0

    324 0 1 1 1 1 0 1 0

    325 1 0 0 1 1 1 1 1326 1 0 0 1 1 1 0 1

    327 1 1 1 0 1 0 0 1

    328 1 1 1 1 1 1 0 1

    329 0 1 1 0 1 1 1 0

    330 1 0 1 0 1 1 1 1

    331 0 0 0 1 0 1 1 0

    332 1 0 0 0 0 1 0 1333 1 1 1 1 0 1 1 1

    334 1 1 1 0 0 0 0 0

    335 0 1 1 1 1 0 0 0

    336 1 1 1 1 0 0 1 0

    337 0 1 0 0 0 1 0 1

    338 1 0 0 0 0 1 0 1

    339 0 1 0 1 0 1 1 0

    340 1 0 0 0 0 1 1 1

    341 1 0 1 1 0 0 1 0

    342 1 0 1 0 0 1 1 0

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    356 1 0 0 1 1 0 0 1

    357 1 1 0 1 1 0 0 0

    358 1 1 1 1 0 0 0 1

    359 0 1 1 1 0 0 1 1

    360 1 1 1 0 0 0 0 1

    361 0 0 1 1 0 1 0 1

    362 1 0 1 0 1 1 1 0

    363 0 1 0 0 0 1 0 1

    364 0 0 1 1 0 1 0 0

    365 1 0 0 0 1 0 1 0366 0 0 1 1 1 0 0 0

    367 1 0 0 1 0 1 1 0

    368 1 1 1 0 1 0 1 1

    369 1 1 0 1 0 1 1 1

    370 1 0 0 0 1 1 0 0

    371 0 0 1 1 0 0 1 0

    372 1 0 0 1 0 1 1 1373 0 1 1 1 1 1 1 1

    374 1 0 0 0 0 1 1 1

    375 0 0 1 1 0 1 1 0

    376 1 0 1 0 0 1 0 1

    377 0 1 0 1 0 0 1 1

    378 1 0 0 0 0 1 1 0

    379 1 1 0 0 0 1 1 1

    380 0 1 1 1 0 1 1 1

    381 0 0 1 0 1 0 1 1

    382 0 1 0 1 1 0 0 1

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    396 0 1 1 0 0 0 0 0

    397 1 1 1 0 0 1 1 1

    398 1 1 0 1 0 1 0 0

    399 1 1 0 1 1 0 1 0

    400 0 1 0 0 1 0 0 1

    401 1 1 1 0 0 1 1 1

    402 1 1 1 0 1 0 1 1

    403 0 1 1 0 1 1 0 1

    404 1 0 0 1 1 1 1 0

    405 1 0 1 1 0 1 0 1406 1 0 0 1 0 1 0 1

    407 1 0 1 1 0 0 1 0

    408 1 0 1 1 1 1 0 1

    409 1 1 1 1 1 1 1 0

    410 1 1 0 0 0 1 0 0

    411 0 0 1 1 0 1 1 0

    412 1 1 1 0 1 0 0 1413 1 0 0 1 1 1 1 1

    414 1 0 0 0 0 0 0 0

    415 0 0 1 0 0 0 0 0

    416 1 1 1 0 0 1 0 1

    417 0 0 0 0 1 1 1 0

    418 0 0 0 1 1 1 1 1

    419 1 1 1 0 1 1 0 0

    420 1 0 1 1 1 1 1 1

    421 1 1 1 0 1 0 1 1

    422 1 0 0 1 1 0 0 0

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    436 1 0 0 1 0 0 1 0

    437 1 1 1 1 0 1 1 1

    438 1 1 1 1 0 0 0 1

    439 1 1 0 1 1 0 0 1

    440 1 1 1 0 1 1 1 0

    441 0 0 1 0 1 0 1 1

    442 0 0 0 1 0 0 1 0

    443 1 1 1 1 0 0 0 0

    444 0 1 0 1 1 1 0 0

    445 1 1 0 0 1 1 1 0446 0 1 1 0 1 0 1 0

    447 1 0 0 1 1 1 0 0

    448 0 0 0 0 0 0 1 1

    449 0 0 1 0 1 0 1 0

    450 0 0 0 0 0 0 1 1

    451 0 0 0 1 1 0 1 1

    452 1 0 1 1 0 1 1 0453 0 0 0 1 1 1 0 1

    454 1 1 0 0 1 1 0 0

    455 0 1 1 1 0 1 1 1

    456 0 0 1 0 0 1 1 1

    457 0 1 0 1 0 0 0 0

    458 1 1 0 1 0 1 0 1

    459 1 1 0 1 1 1 1 0

    460 1 1 1 1 1 1 0 0

    461 0 1 0 1 1 1 0 1

    462 1 1 0 1 0 0 1 0

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    476 0 0 1 1 1 0 0 1

    477 1 1 0 1 0 1 1 1

    478 0 1 0 1 1 1 1 0

    479 0 0 1 0 1 1 0 0

    480 0 0 1 0 1 0 0 0

    481 1 1 0 1 0 0 0 0

    482 1 0 1 0 1 1 0 0

    483 0 1 1 1 1 0 1 0

    484 0 0 0 0 0 1 1 0

    485 0 1 0 1 1 1 0 0486 1 0 1 0 1 1 1 0

    487 1 0 1 0 0 1 0 1

    488 1 1 0 0 0 1 1 0

    489 0 0 1 0 0 0 1 1

    490 0 1 0 1 0 1 0 0

    491 0 0 1 0 0 1 0 1

    492 0 0 0 0 0 0 1 1493 0 0 1 1 1 1 1 1

    494 0 1 0 1 1 1 0 0

    495 1 0 1 1 1 0 0 0

    496 0 1 1 0 0 1 1 0

    497 1 1 0 1 1 0 1 1

    498 0 0 1 0 0 1 1 0

    499 1 1 0 1 0 1 1 0

    500 1 0 1 0 1 0 0 1

    501 0 0 1 0 1 0 1 1

    502 0 0 1 0 0 0 0 0

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    516 1 0 0 0 1 0 1 1

    517 1 1 1 1 1 0 0 1

    518 0 0 0 0 0 0 1 1

    519 0 0 1 1 0 0 1 0

    520 0 1 1 0 1 1 0 1

    521 0 1 1 0 0 0 0 1

    522 0 0 1 1 1 1 0 0

    523 1 1 0 0 1 1 0 0

    524 1 1 1 0 1 1 1 0

    525 0 0 1 1 0 1 1 0526 0 1 0 1 0 0 1 1

    527 0 1 1 0 0 0 1 1

    528 0 1 0 1 0 1 0 0

    529 1 1 1 1 0 1 1 1

    530 1 0 1 0 1 1 0 0

    531 0 0 1 1 0 0 1 0

    532 1 0 0 1 0 0 1 1533 1 0 0 1 1 1 1 0

    534 1 0 0 0 0 0 1 1

    535 0 1 0 1 0 0 1 0

    536 0 1 0 1 1 0 0 1

    537 1 0 1 0 1 1 0 1

    538 1 0 1 0 0 1 0 1

    539 0 1 1 0 0 0 1 1

    540 0 1 1 1 1 1 1 1

    541 1 1 0 0 1 0 0 1

    542 1 0 1 1 1 1 0 1

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    556 0 1 1 1 0 0 1 0

    557 1 0 1 0 1 1 0 0

    558 1 1 0 0 0 0 1 1

    559 0 0 1 1 0 0 1 0

    560 1 1 1 1 0 0 1 0

    561 0 1 0 0 0 0 1 0

    562 0 1 1 1 0 1 0 1

    563 0 1 0 1 1 1 1 1

    564 0 1 1 0 0 1 0 1

    565 1 1 1 1 1 0 0 1566 1 0 1 1 1 0 0 1

    567 0 1 1 1 1 1 1 0

    568 1 1 0 0 0 0 1 0

    569 1 0 0 0 1 1 0 0

    570 1 1 1 1 1 0 1 1

    571 0 1 1 1 1 1 1 0

    572 1 0 0 0 0 1 1 1573 1 0 0 0 0 0 0 1

    574 1 1 0 1 1 0 0 0

    575 0 0 0 1 0 1 0 1

    576 1 1 0 0 0 0 1 1

    577 0 0 1 0 1 0 1 0

    578 0 1 1 0 0 0 0 0

    579 1 0 0 1 1 0 1 0

    580 1 1 1 1 1 0 0 1

    581 1 1 0 0 0 1 1 1

    582 1 0 0 1 1 0 1 0

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    596 0 0 1 1 0 1 0 0

    597 0 1 0 0 1 0 1 1

    598 1 1 1 0 1 0 0 1

    599 0 1 0 1 1 1 0 1

    600 0 0 1 1 0 1 0 0

    601 0 1 0 0 1 0 1 1

    602 1 1 0 0 0 1 1 1

    603 0 0 1 0 0 0 0 0

    604 0 0 1 0 0 1 1 1

    605 1 0 0 1 1 1 0 0606 1 1 1 0 1 0 0 1

    607 0 0 0 1 0 1 1 1

    608 1 0 0 1 1 1 1 1

    609 0 1 1 0 0 0 1 1

    610 0 1 0 0 0 0 1 1

    611 0 0 1 0 0 0 0 0

    612 0 1 1 0 1 1 0 0613 1 1 1 0 1 1 0 0

    614 1 1 1 0 1 0 0 0

    615 1 0 1 0 1 0 1 1

    616 1 0 0 0 0 0 1 0

    617 0 0 0 1 1 1 1 1

    618 0 1 0 1 0 1 1 1

    619 0 0 0 0 1 1 1 1

    620 0 1 0 1 1 0 1 1

    621 0 1 1 0 0 0 0 0

    622 0 0 1 0 1 0 1 1

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    636 0 1 1 1 1 1 0 0

    637 0 0 0 1 1 1 0 1

    638 1 0 1 1 0 1 1 0

    639 0 0 1 1 0 1 0 1

    640 0 1 1 1 1 1 1 1

    641 0 0 1 1 1 0 0 0

    642 1 1 0 0 0 0 1 0

    643 1 0 1 0 1 1 1 1

    644 1 1 0 0 0 1 0 1

    645 1 1 0 0 1 0 1 1646 0 0 0 1 0 1 0 1

    647 1 0 1 1 1 0 0 0

    648 0 1 0 1 1 1 0 1

    649 1 0 0 0 1 1 0 0

    650 0 1 1 0 1 1 0 1

    651 1 0 1 0 0 1 0 1

    652 1 1 0 1 1 1 0 0653 1 0 1 0 0 1 1 1

    654 0 0 1 0 1 0 0 1

    655 1 0 1 0 0 1 0 1

    656 1 1 1 0 1 0 0 0

    657 1 0 1 1 0 0 1 1

    658 1 1 1 1 0 0 0 0

    659 0 0 1 0 1 1 0 1

    660 1 1 0 1 1 0 1 1

    661 1 0 1 0 0 0 1 0

    662 0 0 1 0 0 0 1 1

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    676 0 1 1 0 1 0 1 1

    677 1 0 1 0 1 1 0 1

    678 0 1 0 0 0 1 0 0

    679 1 0 0 1 0 1 0 1

    680 1 1 1 0 1 1 0 1

    681 0 0 1 0 0 1 0 0

    682 1 1 0 1 1 1 0 0

    683 1 1 0 1 1 0 1 1

    684 1 1 0 0 1 1 0 1

    685 0 1 0 0 0 0 0 0686 0 0 1 0 0 0 1 0

    687 0 1 1 0 0 0 1 1

    688 1 1 1 1 1 1 1 1

    689 0 0 1 0 0 0 1 1

    690 0 0 1 0 0 1 1 0

    691 1 0 0 0 0 0 0 1

    692 1 1 1 0 0 0 1 1693 1 0 0 0 1 1 0 0

    694 1 0 1 0 0 1 0 0

    695 0 1 1 1 1 0 1 1

    696 0 1 1 0 1 0 1 1

    697 1 0 1 1 1 0 1 1

    698 1 0 1 1 0 1 1 0

    699 0 0 1 0 1 0 1 1

    700 0 1 0 1 0 0 1 0

    701 0 1 0 0 1 1 0 1

    702 1 1 0 0 1 0 1 1

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    716 1 0 1 1 0 1 0 1

    717 0 0 1 0 0 1 0 1

    718 0 0 0 0 1 1 0 1

    719 0 1 0 1 0 0 0 1

    720 1 1 0 0 0 1 0 1

    721 1 0 1 1 0 0 1 0

    722 1 0 0 0 0 0 1 1

    723 1 0 0 0 1 0 1 0

    724 1 0 0 0 0 0 1 1

    725 1 0 0 0 0 0 1 0726 0 1 0 1 1 1 0 1

    727 0 0 1 0 1 1 0 1

    728 1 0 1 0 0 1 1 1

    729 0 0 0 1 1 0 0 0

    730 1 1 1 1 0 1 0 1

    731 1 0 1 1 0 0 0 0

    732 0 1 1 1 0 0 1 0733 0 1 0 0 1 0 0 0

    734 0 1 1 1 0 1 1 0

    735 0 0 1 0 1 0 1 0

    736 1 1 0 0 0 1 1 1

    737 0 1 1 1 0 1 0 0

    738 0 1 0 0 0 1 1 0

    739 0 1 1 0 0 1 1 1740 0 0 0 1 1 0 1 1

    741 1 1 0 1 1 0 1 0

    742 0 1 0 1 1 0 0 0

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    756 0 0 0 0 0 1 1 1

    757 0 0 1 1 0 1 0 1

    758 0 1 1 0 1 0 0 1

    759 0 0 0 0 0 1 1 1

    760 0 1 0 1 0 1 1 0

    761 0 0 0 0 1 0 1 0

    762 0 1 1 1 1 1 1 1

    763 0 1 0 0 1 1 1 1

    764 1 1 0 0 1 1 1 0

    765 0 0 1 1 1 1 1 0766 0 0 0 1 1 0 0 1

    767 0 1 0 0 0 1 0 0

    768 1 1 0 1 0 0 0 0

    769 1 0 1 1 1 1 0 0

    770 0 0 0 1 1 0 0 0

    771 0 1 1 0 1 0 1 0

    772 0 0 0 0 1 0 1 0773 0 1 1 0 0 0 0 0

    774 0 0 1 0 0 0 1 1

    775 0 1 1 1 1 0 1 1

    776 0 1 0 1 1 1 1 0

    777 1 0 0 0 1 1 0 0

    778 0 1 0 1 0 0 1 1

    779 0 0 1 0 1 1 0 1780 1 1 0 0 0 1 1 1

    781 0 0 0 0 0 0 1 0

    782 0 0 1 0 1 0 0 0

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    796 1 1 1 1 0 1 1 0

    797 1 0 0 1 0 0 0 1

    798 0 1 0 0 1 1 0 1

    799 0 1 1 1 0 0 0 0

    800 1 0 0 1 1 0 1 1

    801 1 1 0 1 0 1 0 1

    802 1 1 1 1 1 0 1 0

    803 1 1 0 0 1 1 0 1

    804 1 0 0 1 1 1 1 0

    805 1 0 0 1 1 1 1 1806 1 0 0 1 0 0 1 0

    807 1 0 1 1 0 1 1 1

    808 1 1 1 0 1 0 0 0

    809 1 0 0 1 0 1 1 1

    810 0 1 1 0 1 0 1 0

    811 1 0 0 0 0 0 1 1

    812 0 0 0 1 0 0 1 0813 1 1 0 1 1 0 0 0

    814 1 1 0 0 0 1 0 0

    815 1 0 1 1 1 0 1 0

    816 0 1 1 1 1 0 0 1

    817 1 0 1 1 1 1 0 1

    818 1 0 1 1 0 0 0 1

    819 1 1 0 1 1 1 0 1820 0 1 1 1 1 1 0 0

    821 1 1 0 1 0 0 1 0

    822 0 0 0 0 1 0 0 0

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    836 1 0 1 0 0 0 1 1

    837 1 1 0 1 1 1 1 1

    838 1 0 0 1 0 0 1 1

    839 0 0 0 0 1 0 1 1

    840 0 0 1 0 1 0 0 0

    841 0 0 1 0 1 1 0 1

    842 1 0 1 1 0 0 1 1

    843 1 0 1 1 1 0 1 0

    844 0 0 1 0 0 0 1 0

    845 0 1 1 0 1 0 0 1846 1 1 1 1 0 0 1 0

    847 1 0 0 0 0 1 0 0

    848 0 1 0 0 0 1 1 1

    849 1 0 1 0 0 1 0 0

    850 0 1 1 0 1 0 0 1

    851 0 0 1 0 0 0 0 0

    852 0 0 1 1 0 1 1 1853 0 1 1 1 1 0 1 1

    854 0 0 0 0 0 0 1 0

    855 1 1 0 1 0 0 0 1

    856 0 1 1 1 0 1 0 0

    857 1 0 0 0 0 1 0 1

    858 1 0 1 1 1 0 0 0

    859 0 0 1 1 1 1 1 1860 0 0 1 0 0 1 1 1

    861 0 1 1 1 1 0 1 0

    862 0 0 0 1 0 1 0 0

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    876 0 0 0 1 1 0 1 1

    877 0 1 1 0 0 1 0 1

    878 0 1 1 0 1 0 1 0

    879 0 1 0 0 0 0 1 0

    880 0 0 0 0 1 0 1 0

    881 0 1 1 0 1 0 0 1

    882 1 1 0 0 1 0 0 0

    883 1 1 1 0 0 1 1 0

    884 0 1 1 1 1 0 0 0

    885 0 0 1 0 0 1 1 0

    886 1 0 1 1 0 0 0 1

    887 1 1 0 1 1 1 0 1

    888 0 1 1 1 1 0 0 1

    889 0 1 0 0 0 0 0 1

    890 1 0 1 1 0 0 1 1

    891 1 1 1 0 1 1 1 0

    892 1 0 1 1 0 1 0 0893 1 1 0 0 1 0 0 1

    894 1 1 1 1 0 0 1 0

    895 1 1 1 1 1 0 1 0

    896 0 0 0 1 1 1 1 0

    897 1 0 0 1 0 0 1 0

    898 1 1 1 1 0 0 0 0

    899 1 1 1 1 0 1 0 1900 1 0 1 0 1 1 0 0

    901 0 0 1 0 0 0 0 1

    902 1 0 0 0 0 0 1 0

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    916 0 0 1 1 0 0 1 0

    917 0 1 0 0 1 0 0 1

    918 0 1 1 1 0 1 0 0

    919 0 1 0 1 1 0 0 1

    920 0 1 0 0 0 1 0 0

    921 1 0 0 0 1 1 1 1

    922 1 1 1 0 1 1 0 0

    923 1 1 1 1 1 1 0 0

    924 1 1 1 1 1 0 1 1

    925 0 1 0 0 1 1 0 0

    926 0 0 1 1 1 0 0 0

    927 1 1 1 1 1 0 1 1

    928 0 0 0 0 1 1 1 1

    929 1 0 1 0 1 0 0 0

    930 0 1 0 0 0 0 1 1

    931 0 1 0 1 0 1 0 0

    932 0 0 0 1 0 1 1 0933 1 1 0 0 0 1 1 1

    934 0 0 1 1 0 0 0 1

    935 0 1 0 0 1 1 0 1

    936 1 1 1 0 0 1 0 0

    937 0 0 0 1 0 0 0 0

    938 0 0 1 1 1 1 1 1

    939 1 1 0 1 0 1 0 1940 1 1 1 1 1 1 1 1

    941 0 1 1 1 1 0 1 0

    942 1 0 0 0 1 1 1 0

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    956 0 1 1 0 1 1 0 1

    957 1 0 0 1 1 0 1 0

    958 0 1 0 0 1 0 1 0

    959 1 1 1 1 0 1 0 0

    960 0 1 0 0 1 0 1 1

    961 0 1 1 1 0 1 1 1

    962 1 0 1 1 0 1 0 0

    963 0 1 1 1 1 0 1 1

    964 1 0 0 0 0 1 0 1

    965 1 0 1 0 0 1 0 1

    966 0 1 1 0 1 0 1 0

    967 1 1 1 0 0 0 0 0

    968 1 1 0 1 0 1 0 1

    969 0 1 0 0 0 0 0 0

    970 0 1 1 1 0 1 1 1

    971 0 0 1 1 1 0 0 1

    972 0 1 0 1 1 1 0 1973 0 0 0 1 1 1 1 1

    974 0 0 1 1 1 0 0 1

    975 0 1 1 1 1 1 0 1

    976 0 0 1 1 1 0 0 0

    977 1 0 0 0 0 0 1 0

    978 0 0 0 1 0 0 1 1

    979 1 0 1 0 1 0 0 1980 1 1 0 1 1 1 1 1

    981 0 0 1 1 1 1 0 1

    982 0 0 1 1 1 1 0 1

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    996 0 1 0 1 0 1 0 0

    997 0 1 0 1 0 0 1 0

    998 1 1 0 0 1 0 0 1

    999 0 1 1 1 1 0 1 1

    1000 0 1 0 1 1 0 0 0

    496 515 520 496 464 503 511 503

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    e F9 key to recalculate

    H/T-9 H/T-10

    1 1

    0 0

    1 1

    0 1

    0 11 0

    0 0

    1 0

    1 0

    0 1

    0 0

    1 00 0

    0 1

    0 1

    1 0

    0 0

    0 0

    0 1

    0 1

    1 1

    1 0

    1 0

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    1 0

    1 1

    0 1

    0 0

    1 1

    1 1

    1 1

    0 1

    1 1

    1 1

    0 0

    1 1

    0 0

    0 1

    1 1

    1 0

    0 11 0

    1 1

    0 0

    0 1

    0 1

    0 1

    0 10 0

    0 1

    1 0

    1 0

  • 7/29/2019 konten excel : Flipping Pennies

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    1 0

    0 1

    1 1

    0 0

    0 1

    0 1

    1 0

    1 1

    0 0

    1 1

    0 1

    1 1

    1 1

    1 1

    1 1

    0 1

    0 01 1

    1 0

    1 1

    1 0

    0 1

    0 0

    0 10 1

    1 0

    0 0

    1 0

  • 7/29/2019 konten excel : Flipping Pennies

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    1 0

    0 1

    1 0

    0 0

    0 0

    1 0

    1 1

    0 1

    1 0

    1 1

    1 0

    0 1

    1 0

    1 1

    0 1

    0 1

    1 01 1

    0 1

    1 0

    1 1

    1 1

    0 1

    0 01 1

    1 1

    0 0

    1 0

  • 7/29/2019 konten excel : Flipping Pennies

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    1 0

    0 1

    0 1

    0 01 1

    1 0

    0 0

    0 0

    0 1

    0 0

    0 1

    0 1

    0 1

    0 0

    0 0

    0 1

    0 01 1

    1 1

    0 0

    1 1

    1 1

    1 0

    1 10 1

    0 1

    0 0

    1 1

  • 7/29/2019 konten excel : Flipping Pennies

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    1 1

    0 1

    1 0

    0 11 0

    1 0

    1 0

    1 1

    0 0

    0 0

    0 1

    1 0

    0 0

    1 1

    0 0

    1 1

    1 11 0

    1 0

    1 1

    0 0

    0 1

    1 0

    0 00 1

    1 1

    0 1

    1 0

  • 7/29/2019 konten excel : Flipping Pennies

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    1 1

    1 0

    1 11 0

    1 0

    0 1

    1 1

    1 0

    1 0

    0 0

    0 1

    0 0

    1 0

    1 0

    1 1

    1 10 1

    1 1

    1 0

    0 1

    0 0

    0 0

    1 01 0

    0 1

    1 1

    0 1

  • 7/29/2019 konten excel : Flipping Pennies

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    0 1

    1 0

    1 01 0

    0 1

    1 1

    1 1

    1 1

    0 1

    1 1

    1 1

    1 1

    0 1

    0 0

    0 0

    1 01 0

    1 1

    1 0

    1 0

    0 0

    0 1

    1 01 0

    0 1

    1 1

    0 1

  • 7/29/2019 konten excel : Flipping Pennies

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    1 0

    0 0

    1 10 1

    0 1

    0 0

    1 1

    0 1

    0 1

    0 1

    1 0

    1 1

    0 0

    0 1

    1 1

    0 11 1

    1 1

    0 0

    0 1

    0 1

    1 1

    1 11 0

    0 1

    1 0

    0 0

  • 7/29/2019 konten excel : Flipping Pennies

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    1 1

    0 0

    1 00 1

    1 1

    1 1

    1 0

    1 1

    0 0

    0 0

    1 1

    1 1

    0 0

    0 1

    1 0

    0 10 1

    1 1

    0 1

    1 0

    0 1

    0 1

    0 01 0

    0 1

    0 0

    1 0

  • 7/29/2019 konten excel : Flipping Pennies

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    0 0

    0 0

    0 01 0

    1 0

    1 1

    0 0

    0 0

    0 1

    0 0

    1 0

    0 1

    0 1

    1 0

    0 0

    0 10 0

    1 0

    1 0

    0 1

    1 0

    0 1

    0 11 1

    1 0

    1 1

    1 1

  • 7/29/2019 konten excel : Flipping Pennies

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    0 1

    0 1

    0 00 1

    0 1

    1 1

    0 0

    1 0

    1 0

    1 0

    0 0

    1 1

    1 1

    1 1

    0 1

    1 01 1

    0 0

    0 1

    1 1

    0 1

    1 1

    0 00 1

    0 1

    0 1

    0 1

    0 0

  • 7/29/2019 konten excel : Flipping Pennies

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    0 0

    0 0

    1 01 0

    1 1

    0 1

    1 0

    1 0

    0 0

    1 0

    0 1

    0 0

    1 1

    1 0

    1 1

    0 0

    1 0

    0 0

    0 0

    1 0

    1 0

    1 1

    1 01 0

    1 0

    0 1

    0 1

    0 0

  • 7/29/2019 konten excel : Flipping Pennies

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    0 0

    0 1

    1 01 0

    0 1

    0 0

    0 1

    0 1

    1 1

    1 1

    0 0

    0 0

    0 0

    0 0

    0 0

    0 1

    0 1

    1 1

    0 0

    1 1

    1 1

    1 1

    1 00 0

    0 1

    0 0

    1 0

    0 1

  • 7/29/2019 konten excel : Flipping Pennies

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    0 1

    1 1

    0 01 1

    1 1

    0 0

    1 1

    1 0

    1 1

    0 0

    1 1

    0 1

    1 0

    0 1

    1 1

    0 1

    0 1

    0 1

    0 1

    0 1

    0 1

    1 0

    0 01 0

    0 1

    0 0

    0 1

    0 1

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    0 1

    0 0

    0 10 0

    1 1

    0 1

    1 1

    0 0

    0 0

    1 1

    1 0

    1 0

    1 0

    0 0

    1 0

    1 0

    0 1

    1 0

    1 0

    0 1

    1 0

    1 0

    0 00 0

    1 0

    0 0

    1 1

    1 0

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    1 0

    0 1

    0 01 1

    0 0

    1 1

    1 0

    1 1

    1 1

    0 0

    0 0

    1 0

    0 1

    0 1

    1 1

    0 0

    1 0

    0 1

    0 0

    0 1

    1 0

    1 1

    0 11 1

    1 0

    0 0

    0 0

    1 0

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    1 0

    1 1

    0 11 0

    0 1

    1 0

    0 1

    0 1

    0 0

    0 1

    1 0

    1 1

    0 0

    0 0

    1 0

    0 1

    1 1

    0 0

    1 0

    1 0

    1 1

    0 1

    1 01 1

    0 0

    1 1

    1 1

    0 1

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    0

    1 1

    0 11 1

    0 1

    0 0

    1 0

    1 0

    0 0

    0 0

    1 1

    0 1

    1 0

    1 1

    1 1

    1 1

    0 1

    0 0

    1 0

    0 1

    0 0

    0 0

    1 00 0

    1 1

    1 1

    1 0

    1 1

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    0 1

    1 10 1

    1 0

    0 1

    0 1

    1 0

    0 1

    1 1

    0 1

    1 1

    1 0

    0 1

    1 0

    1 1

    1 1

    1 0

    0 0

    0 1

    0 0

    1 1

    0 10 0

    1 1

    1 1

    0 0

    0 1

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    0 0

    1 00 1

    0 1

    0 1

    0 1

    1 1

    1 1

    1 01 1

    1 1

    0 0

    0 1

    1 0

    0 1

    0 0

    0 1

    1 1

    0 0

    1 0

    1 1

    1 11 0

    0 1

    1 0

    0 1

    1 0

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    0 0

    0 11 1

    1 0

    0 0

    1 1

    0 0

    1 0

    1 11 1

    1 1

    1 1

    0 1

    0 0

    0 0

    0 0

    0 0

    0 1

    0 1

    1 1

    1 1

    1 11 1

    0 1

    1 1

    0 0

    0 1

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    0 1

    0 10 0

    0 0

    0 1

    0 1

    0 0

    1 1

    0 11 0

    0 1

    1 1

    0 0

    0 0

    1 1

    1 1

    0 0

    0 1

    1 1

    1 1

    1 0

    0 00 0

    0 1

    0 0

    1 1

    0 1

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    0 0

    0 11 1

    1 1

    1 0

    1 0

    1 1

    1 1

    1 01 1

    1 1

    1 1

    0 1

    1 1

    0 1

    1 1

    1 0

    1 1

    1 1

    1 1

    0 0

    0 10 0

    0 0

    1 0

    1 0

    1 1

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    0 1

    1 11 0

    1 0

    0 0

    0 1

    1 1

    1 1

    0 10 1

    0 0

    1 0

    0 1

    1 0

    0 1

    0 1

    0 1

    0 0

    0 1

    1 1

    1 1

    1 11 0

    1 1

    1 0

    1 0

    1 1

    0 0

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    0 0

    0 11 0

    496 520

    1 0 1 1 0

    b f h lf li 0

    1

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    number of half-lives = 0

    1

    1

    1

    percent remaining = 100

    The half-life is the amount of time rquired for half the sample to d

    So let's consider flipping 500 pennies as if they were radiactive ato

    headsium tailsium

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.80.9

    1

    1sample

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    cay.

    s...

    1 2 3 4 5 6 7

    1 0 0 1 0 0 1 0

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    1 0 0 1 0 0 1 0

    2 1 1 0 0 1 0 03 0 0 1 1 1 1 1

    4 1 0 0 1 0 0 0

    5 1 0 0 1 1 0 1

    6 1 1 0 0 1 1 1

    7 1 0 0 0 1 1 0

    8 0 1 1 0 0 1 0

    9 1 1 0 0 1 010 0 0 1 1 1 1

    11 1 1 0 1 0 1

    12 0 0 0 0 1 0

    13 0 0 0 1 0 1

    14 0 1 0 0 0 1

    15 0 0 0 0 0 0

    16 1 1 0 0 0 0

    17 0 1 1 0 1

    18 0 1 0 0 1

    19 1 1 0 0 0

    20 1 1 1 1 1

    21 1 0 1 0 0

    22 0 1 0 0 1

    23 0 1 0 0 1

    24 0 1 1 1 0

    25 1 0 1 0 0 Sinex 2005

    39 0 0 1 0

    40 0 1 0 0

    41 1 1 1 0

    http://academic.pgcc.edu/~ssinexhttp://academic.pgcc.edu/~ssinex
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    41 1 1 1 0

    42 0 0 0 143 1 1 1 1

    44 1 0 0 0

    45 0 0 1 1

    46 1 0 1 0

    47 1 0 1 1

    48 1 0 1 0

    49 0 1 0 050 0 1 1 1

    51 1 0 1 0

    52 1 1 1 1

    53 0 1 1 0

    54 1 0 0 1

    55 0 0 1 1

    56 0 0 0 1

    57 1 0 1 0

    58 0 0 0 1

    59 1 0 1 0

    60 1 0 0 1

    61 0 1 1 0

    62 1 1 1 0

    63 0 1 0 0

    64 1 1 0

    65 0 0 0

    79 1 0 0

    80 0 1 1

    81 0 0 0

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    81 0 0 0

    82 0 1 083 1 1 0

    84 0 0 0

    85 0 1 1

    86 0 1 0

    87 0 0 1

    88 1 0 1

    89 0 0 090 1 0 0

    91 1 0 1

    92 0 0 0

    93 1 1 0

    94 0 1 0

    95 0 1 0

    96 0 0 0

    97 0 0 1

    98 1 1 0

    99 0 1 1

    100 0 0 0

    101 1 1 1

    102 1 0 1

    103 0 0 0

    104 1 1 1

    105 1 0 1

    119 0 0 0

    120 1 0 0

    121 0 0 1

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    122 0 0 1123 1 1 1

    124 0 0 0

    125 1 1 1

    126 1 0

    127 0 0

    128 0 1

    129 1 1130 0 1

    131 1 1

    132 1 0

    133 1 1

    134 0 0

    135 1 0

    136 1 1

    137 0 1

    138 0 0

    139 1 1

    140 1 1

    141 0 1

    142 1 0

    143 0 1

    144 0 0

    145 1 0

    159 1 1

    160 0 1

    161 0 1

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    162 0 1163 1 0

    164 0 1

    165 0 0

    166 0 1

    167 1 1

    168 0 1

    169 1 1170 1 1

    171 0 0

    172 1 1

    173 0 1

    174 0 0

    175 0 1

    176 0 0

    177 1 1

    178 1 1

    179 0 1

    180 1 1

    181 1 1

    182 0 0

    183 0 1

    184 1 0

    185 1 0

    199 1 1

    200 0 1

    201 0 0

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    202 0 0203 0 0

    204 1 1

    205 0 1

    206 1 1

    207 1 1

    208 0 0

    209 0 1210 0 1

    211 0 0

    212 1 1

    213 0 1

    214 0 1

    215 0 0

    216 0 1

    217 1 0

    218 0 1

    219 0 1

    220 0 1

    221 1 0

    222 0 1

    223 1 1

    224 1 1

    225 1 1

    239 1 1

    240 0 0

    241 1 1

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    242 1 1243 1 1

    244 0 0

    245 1 0

    246 0 0

    247 0 1

    248 0 1

    249 1 1250 0 0

    251 1

    252 1

    253 0

    254 0

    255 1

    256 0

    257 1

    258 1

    259 1

    260 0

    261 0

    262 1

    263 0

    264 0

    265 1

    279 1

    280 1

    281 0

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    282 0283 1

    284 1

    285 0

    286 0

    287 0

    288 0

    289 0290 0

    291 1

    292 0

    293 1

    294 1

    295 1

    296 0297 0

    298 0

    299 0

    300 1

    301 1

    302 1

    303 1

    304 0

    305 1

    319 1

    320 0

    321 1

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    322 1323 1

    324 0

    325 1

    326 1

    327 1

    328 0

    329 0330 0

    331 0

    332 1

    333 0

    334 1

    335 1

    336 1337 1

    338 1

    339 0

    340 0

    341 1

    342 0

    343 1

    344 1

    345 0

    359 1

    360 0

    361 0

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    362 0363 0

    364 1

    365 1

    366 0

    367 0

    368 0

    369 0370 0

    371 0

    372 1

    373 1

    374 0

    375 1

    376 0377 0

    378 1

    379 0

    380 1

    381 0

    382 1

    383 1

    384 0

    385 1

    399 1

    400 0

    401 0

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    402 0403 1

    404 1

    405 0

    406 0

    407 1

    408 0

    409 0410 1

    411 1

    412 1

    413 1

    414 1

    415 1

    416 0417 1

    418 1

    419 1

    420 1

    421 0

    422 1

    423 1

    424 1

    425 0

    439 0

    440 1

    441 1

    442 0

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    442 0

    443 1

    444 1

    445 1

    446 0

    447 1

    448 0

    449 0450 0

    451 1

    452 1

    453 1

    454 1

    455 0

    456 0457 0

    458 1

    459 1

    460 1

    461 0

    462 0

    463 1

    464 0

    465 1

    479 1

    480 0 Press the F9 key to recalculate

    481 0

    482 1

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    482 1

    483 0

    484 0

    485 0

    486 1

    487 0

    488 0

    489 0490 0

    491 1

    492 1

    493 1

    494 1

    495 1

    496 1497 1

    498 0

    499 0

    500 1

    0 1 2 3 4 5 6 7 half-lives

    500 259 138 55 24 17 9 3 actual

    500 250 125 62.5 31.3 15.6 7.8 3.9 theoretical

    0 3.6 10.4 -12 -23.2 8.8 15.2 -23.2 %error

    y = 512.8R = 0.

    0100

    200

    300

    400

    500

    600

    0 1 2 3 4 5 6

    numberofheads

    time in units of half-life

    -30-25-20-15-10-505

    101520

    1 2 3 4 5 6

    %error

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    7e-0.711x9921

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    .9921

    7

    7 8

    then select

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