10
©E \2P0g1L5N XKuuXtoar \SgoAfCtBwkadrRee hLkLmCG.p K nAzlnle oriiCgrhYtwsc lrSensSejrpvIeYdI.N D lMyavdyeA iwRiCtChq aIhnUfjiFn`iQtneb tAillg`ezb_rJas A2g. Worksheet by Kuta Software LLC Precalculus - Probability Independence, Mutual Exclusivity, and Permutations/Combinations Name___________________________________ ID: 1 ©f z2M0v1^5e IKUu]tsaJ bSLoXfftswvaSrees VLxLNCb.[ u UAdlklX xrzitg^hJt]s^ RrTeJsteYrGvfekdE. -1- Determine whether the scenario involves independent or dependent events. Then find the probability. 1) There are five nickels and eight dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. The first coin is a nickel and the second coin is a dime. 2) A bag contains six red marbles and six blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. Both marbles are red. 3) A cooler contains fourteen bottles of sports drink: five lemon-lime flavored, five orange flavored, and four fruit-punch flavored. You randomly grab a bottle. Then you return the bottle to the cooler, mix up the bottles, and randomly select another bottle. The first time, you get a lemon-lime drink. The second time, you get a fruit-punch. 4) You flip a coin twice. The first flip lands heads-up and the second flip also lands heads-up. 5) You select a card from a standard shuffled deck of 52 cards. You return the card, shuffle, and then select another card. Both times the card is a diamond. (Note that 13 of the 52 cards are diamonds.) 6) A basket contains seven apples and five peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach. 7) You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number. 8) There are four nickels and eight dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. Both coins are nickels. 9) There are six nickels and four dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. Both times the coin is a nickel. 10) You roll a fair six-sided die twice. The first roll shows a six and the second roll shows a four.

Independence, Mutual Exclusivity, and Permutations ...slasmath.weebly.com/uploads/3/7/6/5/37650955/independence_mutual... · Independence, Mutual Exclusivity, and Permutations/Combinations

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Page 1: Independence, Mutual Exclusivity, and Permutations ...slasmath.weebly.com/uploads/3/7/6/5/37650955/independence_mutual... · Independence, Mutual Exclusivity, and Permutations/Combinations

©E \2P0g1L5N XKuuXtoar \SgoAfCtBwkadrRee hLkLmCG.p K nAzlnle oriiCgrhYtwsc lrSensSejrpvIeYdI.N D lMyavdyeA iwRiCtChq aIhnUfjiFn`iQtneb tAillg`ezb_rJas A2g.

Worksheet by Kuta Software LLC

Precalculus - Probability

Independence, Mutual Exclusivity, and Permutations/Combinations

Name___________________________________ ID: 1©f z2M0v1^5e IKUu]tsaJ bSLoXfftswvaSrees VLxLNCb.[ u UAdlklX xrzitg^hJt]s^ RrTeJsteYrGvfekdE.

-1-

Determine whether the scenario involves independent or dependent events. Then find theprobability.

1) There are five nickels and eight dimes inyour pocket. You randomly pick a coinout of your pocket and place it on acounter. Then you randomly pick anothercoin. The first coin is a nickel and thesecond coin is a dime.

2) A bag contains six red marbles and sixblue marbles. You randomly pick amarble and then pick a second marblewithout returning the marbles to the bag. Both marbles are red.

3) A cooler contains fourteen bottles ofsports drink: five lemon-lime flavored,five orange flavored, and four fruit-punchflavored. You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly selectanother bottle. The first time, you get alemon-lime drink. The second time, youget a fruit-punch.

4) You flip a coin twice. The first flip landsheads-up and the second flip also landsheads-up.

5) You select a card from a standard shuffleddeck of 52 cards. You return the card,shuffle, and then select another card. Bothtimes the card is a diamond. (Note that 13of the 52 cards are diamonds.)

6) A basket contains seven apples and fivepeaches. You randomly select one pieceof fruit and eat it. Then you randomlyselect another piece of fruit. The firstpiece of fruit is an apple and the secondpiece is a peach.

7) You flip a coin and then roll a fairsix-sided die. The coin lands heads-upand the die shows an even number.

8) There are four nickels and eight dimes inyour pocket. You randomly pick a coinout of your pocket and place it on acounter. Then you randomly pick anothercoin. Both coins are nickels.

9) There are six nickels and four dimes inyour pocket. You randomly pick a coinout of your pocket and then return it toyour pocket. Then you randomly pickanother coin. Both times the coin is anickel.

10) You roll a fair six-sided die twice. Thefirst roll shows a six and the second rollshows a four.

Page 2: Independence, Mutual Exclusivity, and Permutations ...slasmath.weebly.com/uploads/3/7/6/5/37650955/independence_mutual... · Independence, Mutual Exclusivity, and Permutations/Combinations

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Worksheet by Kuta Software LLC

-2-

Determine if the scenario involves mutually exclusive events. Then find the probability.

11) There are eleven shirts in your closet,three blue, five green, and three red. Yourandomly select one to wear. It is blue orgreen.

12) A basket contains three apples, fourpeaches, and four pears. You randomlyselect a piece of fruit. It is an apple or apeach.

13) There are four nickels, three dimes, andthree quarters in your pocket. Yourandomly pick a coin. It is a nickel or adime.

14) A box contains three red playing cardsnumbered one to three. The box alsocontains four black playing cardsnumbered one to four. You randomly picka playing card. It is black or has a numbergreater than two.

15) A spinner has an equal chance of landingon each of its five numbered regions. After spinning, it lands in region one orfive.

16) You roll a fair six-sided die. The dieshows an even number or a number lessthan six.

17) A box of chocolates contains four milkchocolates and seven dark chocolates. Three of the milk chocolates and six of thedark chocolates have peanuts inside. Yourandomly select and eat a chocoate. It is adark chocolate or has no peanuts inside.

18) A magazine contains fifteen pages. Youopen to a random page. The page numberis eleven or fourteen.

19) There are five nickels, three dimes, andthree quarters in your pocket. Yourandomly pick a coin. It is a nickel or adime.

20) A litter of kittens consists of three graykittens, two black kittens, and twomixed-color kittens. You randomly pickone kitten. The kitten is gray ormixed-color.

21) A magazine contains twelve pages. Youopen to a random page. The page numberis four or eleven.

22) A bag contains three yellow ticketsnumbered one to three. The bag alsocontains three green tickets numbered oneto three. You randomly pick a ticket. It isgreen or has a number greater than two.

Page 3: Independence, Mutual Exclusivity, and Permutations ...slasmath.weebly.com/uploads/3/7/6/5/37650955/independence_mutual... · Independence, Mutual Exclusivity, and Permutations/Combinations

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Worksheet by Kuta Software LLC

-3-

23) There are five nickels, three dimes, andfive quarters in your pocket. Yourandomly pick a coin. It is a nickel or adime.

24) A litter of kittens consists of one grayfemale, three gray males, two blackfemales, and one black male. Yourandomly pick one kitten. The kitten isblack or male.

25) A magazine contains fifteen pages. Youopen to a random page. The page numberis five or fifteen.

26) A basket contains five apples, threepeaches, and five pears. You randomlyselect a piece of fruit. It is an apple or apeach.

27) A cooler contains eleven sports drinks:four lemon-lime and seven orange. Oneof the lemon-lime and three of the orangedrinks are cold. The others are still warm. You randomly grab a bottle. It islemon-lime flavored or cold.

28) There are three nickels, three dimes, andfive quarters in your pocket. Yourandomly pick a coin. It is a nickel or adime.

29) A magazine contains twelve pages. Youopen to a random page. The page numberis seven or nine.

30) A box of chocolates contains four milkchocolates, four dark chocolates, and threewhite chocolates. You randomly select achocolate. It is a milk chocolate or a darkchocolate.

Find the probability of each event, based on whether it is a permutation or a combination.

31) A politician is about to give a campaignspeech and is holding a stack of seven cuecards, of which the first 3 are the mostimportant. Just before the speech, hedrops all of the cards and picks them up ina random order. What is the probabilitythat cards #1, #2, and #3 are still in orderon the top of the stack?

32) A technician is launching fireworks nearthe end of a show. Of the remainingeleven fireworks, seven are blue and fourare red. If she launches seven of them in arandom order, what is the probability thatall of them are blue?

Page 4: Independence, Mutual Exclusivity, and Permutations ...slasmath.weebly.com/uploads/3/7/6/5/37650955/independence_mutual... · Independence, Mutual Exclusivity, and Permutations/Combinations

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Worksheet by Kuta Software LLC

-4-

33) A politician is about to give a campaignspeech and is holding a stack of thirteencue cards, of which the first 3 are the mostimportant. Just before the speech, hedrops all of the cards and picks them up ina random order. What is the probabilitythat cards #1, #2, and #3 are still in orderon the top of the stack?

34) A child is drawing a rainbow using a boxof ten different colored crayons, whichinclude the seven required colors. Afterdrawing the red, orange, yellow, and greenarcs in the proper order, she forgets thelast three colors. From the remaining sixcrayons, she chooses three at random tofinish drawing the rainbow. What is theprobability that she correctly finishes theROYGBIV rainbow?

35) A gambler places a bet on a horse race. Towin, she must pick the top three finishersin order. Seven horses of equal ability areentered in the race. Assuming the horsesfinish in a random order, what is theprobability that the gambler will win herbet?

36) A jar contains five black buttons and threebrown buttons. If five buttons are pickedat random, what is the probability that allof them are black?

37) A gambler places a bet on a horse race. Towin, he must pick the top three finishers inany order. Seven horses of equal abilityare entered in the race. Assuming thehorses finish in a random order, what isthe probability that the gambler will winhis bet?

38) You've purchased a lottery ticket and yournumbers are: 4-8-3. A lottery officialrandomly selects three balls from a set ofnine balls that are numbered from #1 to#9. To win, your numbers must match theselected numbers in order. What is theprobability of winning the lottery?

39) A meeting takes place between a diplomatand thirteen government officials. However, three of the officials are actuallyspies. If the diplomat gives secretinformation to ten of the attendees atrandom, what is the probability that nosecret information was given to the spies?

40) Jacob and Jennifer each purchase oneraffle ticket. If a total of five raffle ticketsare sold, what is the probability that Jacobwins the grand prize and Jennifer wins thesecond prize?

Page 5: Independence, Mutual Exclusivity, and Permutations ...slasmath.weebly.com/uploads/3/7/6/5/37650955/independence_mutual... · Independence, Mutual Exclusivity, and Permutations/Combinations

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Worksheet by Kuta Software LLC

-5-

41) A child is drawing a rainbow using a boxof fourteen different colored crayons,which include the seven required colors. After drawing the red, orange, yellow, andgreen arcs in the proper order, he forgetsthe last three colors. From the remainingten crayons, he chooses three at random tofinish drawing the rainbow. What is theprobability that he correctly finishes theROYGBIV rainbow?

42) A car dealership has twelve cars in the lot. Unfortunately, the keys to the cars havebeen mixed up. The manager randomlygrabs a key and tries to start a car. Asalesman also randomly picks a differentkey and tries to start another car. What isthe probability that both cars start?

43) You've purchased a lottery ticket and yournumbers are: 2-9-6. A lottery officialrandomly selects three balls from a set oftwelve balls that are numbered from #1 to#12. To win, your numbers must matchthe selected numbers in order. What is theprobability of winning the lottery?

44) A meeting takes place between a diplomatand nine government officials. However,two of the officials are actually spies. Ifthe diplomat gives secret information toseven of the attendees at random, what isthe probability that no secret informationwas given to the spies?

45) A child is drawing a rainbow using a boxof seventeen different colored crayons,which include the seven required colors. After drawing the red, orange, yellow, andgreen arcs in the proper order, he forgetsthe last three colors. From the remainingthirteen crayons, he chooses three atrandom to finish drawing the rainbow. What is the probability that he correctlyfinishes the ROYGBIV rainbow?

46) A mechanic working under a car requiresfive different size wrenches from histoolbox, which contains nine differentwrenches. Reaching for his toolbox, hegrabs five of them at random. What is theprobability that the mechanic has all of thewrenches he needs?

47) A car dealership has five cars in the lot. Unfortunately, the keys to the cars havebeen mixed up. The manager randomlygrabs a key and tries to start a car. Asalesman also randomly picks a differentkey and tries to start another car. What isthe probability that both cars start?

48) You've purchased a lottery ticket and yournumbers are: 2-9-6. A lottery officialrandomly selects three balls from a set ofsix balls that are numbered from #1 to #6. To win, your numbers must match theselected numbers in order. What is theprobability of winning the lottery?

Page 6: Independence, Mutual Exclusivity, and Permutations ...slasmath.weebly.com/uploads/3/7/6/5/37650955/independence_mutual... · Independence, Mutual Exclusivity, and Permutations/Combinations

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Worksheet by Kuta Software LLC

Precalculus - Probability

Independence, Mutual Exclusivity, and Permutations/Combinations

Name___________________________________ ID: 1©v k2Z0u1I5c mKeuQtPak GSVoGfYtOwzaNrxee xLNLuCk.x P NAelul` SrriDgchqtKsD vrKeBs`eSr[vCeDdU.

-1-

Determine whether the scenario involves independent or dependent events. Then find theprobability.

1) There are five nickels and eight dimes inyour pocket. You randomly pick a coinout of your pocket and place it on acounter. Then you randomly pick anothercoin. The first coin is a nickel and thesecond coin is a dime.

Dependent; 10

39 » 0.256

2) A bag contains six red marbles and sixblue marbles. You randomly pick amarble and then pick a second marblewithout returning the marbles to the bag. Both marbles are red.

Dependent; 5

22 » 0.227

3) A cooler contains fourteen bottles ofsports drink: five lemon-lime flavored,five orange flavored, and four fruit-punchflavored. You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly selectanother bottle. The first time, you get alemon-lime drink. The second time, youget a fruit-punch.

Independent; 5

49 » 0.102

4) You flip a coin twice. The first flip landsheads-up and the second flip also landsheads-up.

Independent; 1

4 = 0.25

5) You select a card from a standard shuffleddeck of 52 cards. You return the card,shuffle, and then select another card. Bothtimes the card is a diamond. (Note that 13of the 52 cards are diamonds.)

Independent; 1

16 » 0.063

6) A basket contains seven apples and fivepeaches. You randomly select one pieceof fruit and eat it. Then you randomlyselect another piece of fruit. The firstpiece of fruit is an apple and the secondpiece is a peach.

Dependent; 35

132 » 0.265

7) You flip a coin and then roll a fairsix-sided die. The coin lands heads-upand the die shows an even number.

Independent; 1

4 = 0.25

8) There are four nickels and eight dimes inyour pocket. You randomly pick a coinout of your pocket and place it on acounter. Then you randomly pick anothercoin. Both coins are nickels.

Dependent; 1

11 » 0.091

9) There are six nickels and four dimes inyour pocket. You randomly pick a coinout of your pocket and then return it toyour pocket. Then you randomly pickanother coin. Both times the coin is anickel.

Independent; 3

5 = 0.6

10) You roll a fair six-sided die twice. Thefirst roll shows a six and the second rollshows a four.

Independent; 1

36 » 0.028

Page 7: Independence, Mutual Exclusivity, and Permutations ...slasmath.weebly.com/uploads/3/7/6/5/37650955/independence_mutual... · Independence, Mutual Exclusivity, and Permutations/Combinations

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Worksheet by Kuta Software LLC

-2-

Determine if the scenario involves mutually exclusive events. Then find the probability.

11) There are eleven shirts in your closet,three blue, five green, and three red. Yourandomly select one to wear. It is blue orgreen.

Mutually exclusive; 8

11 » 0.727

12) A basket contains three apples, fourpeaches, and four pears. You randomlyselect a piece of fruit. It is an apple or apeach.

Mutually exclusive; 7

11 » 0.636

13) There are four nickels, three dimes, andthree quarters in your pocket. Yourandomly pick a coin. It is a nickel or adime.

Mutually exclusive; 7

10 = 0.7

14) A box contains three red playing cardsnumbered one to three. The box alsocontains four black playing cardsnumbered one to four. You randomly picka playing card. It is black or has a numbergreater than two.

Not mutually exclusive; 5

7 » 0.714

15) A spinner has an equal chance of landingon each of its five numbered regions. After spinning, it lands in region one orfive.

Mutually exclusive; 2

5 = 0.4

16) You roll a fair six-sided die. The dieshows an even number or a number lessthan six.

Not mutually exclusive; 1

17) A box of chocolates contains four milkchocolates and seven dark chocolates. Three of the milk chocolates and six of thedark chocolates have peanuts inside. Yourandomly select and eat a chocoate. It is adark chocolate or has no peanuts inside.

Not mutually exclusive; 8

11 » 0.727

18) A magazine contains fifteen pages. Youopen to a random page. The page numberis eleven or fourteen.

Mutually exclusive; 2

15 » 0.133

19) There are five nickels, three dimes, andthree quarters in your pocket. Yourandomly pick a coin. It is a nickel or adime.

Mutually exclusive; 8

11 » 0.727

20) A litter of kittens consists of three graykittens, two black kittens, and twomixed-color kittens. You randomly pickone kitten. The kitten is gray ormixed-color.

Mutually exclusive; 5

7 » 0.714

21) A magazine contains twelve pages. Youopen to a random page. The page numberis four or eleven.

Mutually exclusive; 1

6 » 0.167

22) A bag contains three yellow ticketsnumbered one to three. The bag alsocontains three green tickets numbered oneto three. You randomly pick a ticket. It isgreen or has a number greater than two.

Not mutually exclusive; 2

3 » 0.667

Page 8: Independence, Mutual Exclusivity, and Permutations ...slasmath.weebly.com/uploads/3/7/6/5/37650955/independence_mutual... · Independence, Mutual Exclusivity, and Permutations/Combinations

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Worksheet by Kuta Software LLC

-3-

23) There are five nickels, three dimes, andfive quarters in your pocket. Yourandomly pick a coin. It is a nickel or adime.

Mutually exclusive; 8

13 » 0.615

24) A litter of kittens consists of one grayfemale, three gray males, two blackfemales, and one black male. Yourandomly pick one kitten. The kitten isblack or male.

Not mutually exclusive; 6

7 » 0.857

25) A magazine contains fifteen pages. Youopen to a random page. The page numberis five or fifteen.

Mutually exclusive; 2

15 » 0.133

26) A basket contains five apples, threepeaches, and five pears. You randomlyselect a piece of fruit. It is an apple or apeach.

Mutually exclusive; 8

13 » 0.615

27) A cooler contains eleven sports drinks:four lemon-lime and seven orange. Oneof the lemon-lime and three of the orangedrinks are cold. The others are still warm. You randomly grab a bottle. It islemon-lime flavored or cold.

Not mutually exclusive; 7

11 » 0.636

28) There are three nickels, three dimes, andfive quarters in your pocket. Yourandomly pick a coin. It is a nickel or adime.

Mutually exclusive; 6

11 » 0.545

29) A magazine contains twelve pages. Youopen to a random page. The page numberis seven or nine.

Mutually exclusive; 1

6 » 0.167

30) A box of chocolates contains four milkchocolates, four dark chocolates, and threewhite chocolates. You randomly select achocolate. It is a milk chocolate or a darkchocolate.

Mutually exclusive; 8

11 » 0.727

Find the probability of each event, based on whether it is a permutation or a combination.

31) A politician is about to give a campaignspeech and is holding a stack of seven cuecards, of which the first 3 are the mostimportant. Just before the speech, hedrops all of the cards and picks them up ina random order. What is the probabilitythat cards #1, #2, and #3 are still in orderon the top of the stack?

1

210 » 0.476%

32) A technician is launching fireworks nearthe end of a show. Of the remainingeleven fireworks, seven are blue and fourare red. If she launches seven of them in arandom order, what is the probability thatall of them are blue?

1

330 » 0.303%

Page 9: Independence, Mutual Exclusivity, and Permutations ...slasmath.weebly.com/uploads/3/7/6/5/37650955/independence_mutual... · Independence, Mutual Exclusivity, and Permutations/Combinations

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Worksheet by Kuta Software LLC

-4-

33) A politician is about to give a campaignspeech and is holding a stack of thirteencue cards, of which the first 3 are the mostimportant. Just before the speech, hedrops all of the cards and picks them up ina random order. What is the probabilitythat cards #1, #2, and #3 are still in orderon the top of the stack?

1

1716 » 0.058%

34) A child is drawing a rainbow using a boxof ten different colored crayons, whichinclude the seven required colors. Afterdrawing the red, orange, yellow, and greenarcs in the proper order, she forgets thelast three colors. From the remaining sixcrayons, she chooses three at random tofinish drawing the rainbow. What is theprobability that she correctly finishes theROYGBIV rainbow?

1

120 » 0.833%

35) A gambler places a bet on a horse race. Towin, she must pick the top three finishersin order. Seven horses of equal ability areentered in the race. Assuming the horsesfinish in a random order, what is theprobability that the gambler will win herbet?

1

210 » 0.476%

36) A jar contains five black buttons and threebrown buttons. If five buttons are pickedat random, what is the probability that allof them are black?

1

56 » 1.786%

37) A gambler places a bet on a horse race. Towin, he must pick the top three finishers inany order. Seven horses of equal abilityare entered in the race. Assuming thehorses finish in a random order, what isthe probability that the gambler will winhis bet?

1

35 » 2.857%

38) You've purchased a lottery ticket and yournumbers are: 4-8-3. A lottery officialrandomly selects three balls from a set ofnine balls that are numbered from #1 to#9. To win, your numbers must match theselected numbers in order. What is theprobability of winning the lottery?

1

504 » 0.198%

39) A meeting takes place between a diplomatand thirteen government officials. However, three of the officials are actuallyspies. If the diplomat gives secretinformation to ten of the attendees atrandom, what is the probability that nosecret information was given to the spies?

1

286 » 0.35%

40) Jacob and Jennifer each purchase oneraffle ticket. If a total of five raffle ticketsare sold, what is the probability that Jacobwins the grand prize and Jennifer wins thesecond prize?

1

20 = 5%

Page 10: Independence, Mutual Exclusivity, and Permutations ...slasmath.weebly.com/uploads/3/7/6/5/37650955/independence_mutual... · Independence, Mutual Exclusivity, and Permutations/Combinations

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Worksheet by Kuta Software LLC

-5-

41) A child is drawing a rainbow using a boxof fourteen different colored crayons,which include the seven required colors. After drawing the red, orange, yellow, andgreen arcs in the proper order, he forgetsthe last three colors. From the remainingten crayons, he chooses three at random tofinish drawing the rainbow. What is theprobability that he correctly finishes theROYGBIV rainbow?

1

720 » 0.139%

42) A car dealership has twelve cars in the lot. Unfortunately, the keys to the cars havebeen mixed up. The manager randomlygrabs a key and tries to start a car. Asalesman also randomly picks a differentkey and tries to start another car. What isthe probability that both cars start?

1

132 » 0.758%

43) You've purchased a lottery ticket and yournumbers are: 2-9-6. A lottery officialrandomly selects three balls from a set oftwelve balls that are numbered from #1 to#12. To win, your numbers must matchthe selected numbers in order. What is theprobability of winning the lottery?

1

1320 » 0.076%

44) A meeting takes place between a diplomatand nine government officials. However,two of the officials are actually spies. Ifthe diplomat gives secret information toseven of the attendees at random, what isthe probability that no secret informationwas given to the spies?

1

36 » 2.778%

45) A child is drawing a rainbow using a boxof seventeen different colored crayons,which include the seven required colors. After drawing the red, orange, yellow, andgreen arcs in the proper order, he forgetsthe last three colors. From the remainingthirteen crayons, he chooses three atrandom to finish drawing the rainbow. What is the probability that he correctlyfinishes the ROYGBIV rainbow?

1

1716 » 0.058%

46) A mechanic working under a car requiresfive different size wrenches from histoolbox, which contains nine differentwrenches. Reaching for his toolbox, hegrabs five of them at random. What is theprobability that the mechanic has all of thewrenches he needs?

1

126 » 0.794%

47) A car dealership has five cars in the lot. Unfortunately, the keys to the cars havebeen mixed up. The manager randomlygrabs a key and tries to start a car. Asalesman also randomly picks a differentkey and tries to start another car. What isthe probability that both cars start?

1

20 = 5%

48) You've purchased a lottery ticket and yournumbers are: 2-9-6. A lottery officialrandomly selects three balls from a set ofsix balls that are numbered from #1 to #6. To win, your numbers must match theselected numbers in order. What is theprobability of winning the lottery?

1

120 » 0.833%