DICE WARS!

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DICE WARS!. Created by Charles Jenkins. Dice Wars is a cross between the classic card game of War and the board game Risk (without the board!). Players try to capture their opponents dice by rolling against each other. - PowerPoint PPT Presentation

Text of DICE WARS!

  • Created by Charles Jenkins

  • Dice Wars is a cross between the classic card game of War and the board game Risk (without the board!). Players try to capture their opponents dice by rolling against each other.

    Explaining the rules can be confusing, but playing the game itself is quite easy. All you need is two people and four dice, and youre ready to go!

  • Object of the game:To capture your opponents dice!Instructions:Both players roll two dice. The higher die of each player are compared. Whoever has the higher die captures their opponents die. The other two dice are compared and the winner captures the lower die. A player can now have anywhere from zero to four dice. No dice are captured in the event of a tie.Players again roll all of their dice and compare each players highest dice, and in the case both players still have two dice each, their other dice are compared.The first player to capture all four dice wins!

  • Player A and Player B start out with 2 dice each. Both players roll both dice.Player A wins one of Player Bs dice because four beats three.But Player B also wins one of Player As dice because two beats one.Both players still have two dice.Player A rolls:Player B rolls:

  • Both players roll again.This time the two highest dice are both three, so neither player captures those any die.But Player A does win one of Player Bs dice because two beats one.Now Player A has three dice and Player B only has one.Player A rolls:Player B rolls:

  • Both players roll again.Player A captures Player Bs remaining die because six is higher than three. Because Player A only uses his highest die, his other two dice are not compared to any other dice.Player A wins because he has captured all 4 dice!Player A rolls:Player B rolls:

  • This game starts off fair because both players are rolling two dice. As soon as a player captures a die, however, they has an advantage because they are now rolling three dice to one.

    We must look at all of the possible combinations. We know with one die, there are 6 possible outcomes. When we have two dice, there are 36 possible outcomes. In Dice Wars, were always playing with four dice for a totally of 1296 outcomes (64)! Because the dice are compared to one another, there is no simple math formula to figure out the probability, so I had to list out all of the possible combinations.Is this game fair?

    How can we measure if the game is fair?

  • 2 Dice vs. 2 DiceEventOccurrenceProbabilityA wins 2295295/129622.76%B wins 2295295/129622.76%A and B Split20025/16215.43%A wins and Ties22055/32416.98%B wins and Ties22055/32416.98%Both Tie6611/2165.09%

    3 Dice vs. 1 DiceEventOccurrenceProbabilityA Wins855855/129665.97%B Wins22525/14417.36%Tie2161/616.67%

  • A total list of the permutations can be found in the attached Excel spreadsheet.

    Totals

    2 Dice vs 2 Dice3 Dice vs 1 Dice

    EventOccuranceProbabilityEventOccuranceProbability

    A wins 2295295/129622.76%A Wins855855/129665.97%

    B wins 2295295/129622.76%B Wins22525/14417.36%

    A and B Split20025/16215.43%Tie2161/616.67%

    A wins and Ties22055/32416.98%Total1296

    B wins and Ties22055/32416.98%

    Both Tie6611/2165.09%

    Total1296

    2 vs 2

    ABABABABABAB

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    1311ATieATie1321ATieATie1331TieTieTieTie1341BTieBTie1351BTieBTie1361BTieBTie

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    1511ATieATie1521ATieATie1531ATieATie1541ATieATie1551TieTieTieTie1561BTieBTie

    1611ATieATie1621ATieATie1631ATieATie1641ATieATie1651ATieATie1661TieTieTieTie

    2111ATieATie2121TieTieTieTie2131BTieBTie2141BTieBTie2151BTieBTie2161BTieBTie

    2211AAAA2221TieATieA2231BABA2241BABA2251BABA2261BABA

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    2411AAAA2421AAAA2431AAAA2441TieATieA2451BABA2461BABA

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    2611AAAA2621AAAA2631AAAA2641AAAA2651AAAA2661TieATieA

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    2512AAAA2522ATieATie2532ATieATie2542ATieATie2552TieTieTieTie2562BTieBTie

    2612AAAA2622ATieATie2632ATieATie2642ATieATie2652ATieATie2662TieTieTieTie

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    3612AAAA3622AAAA3632AAAA3642AAAA3652AAAA3662TieATieA

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    4212AAAA4222ATieATie4232ATieATie4242TieTieTieTie4252BTieBTie4262BTieBTie

    4312AAAA4322AAAA4332AAAA4342TieATieA4352BABA4362BABA

    4412AAAA4422AAAA4432AAAA4442TieATieA4452BABA4462BABA

    4512AAAA4522AAAA4532AAAA4542AAAA4552TieATieA4562BABA

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    5312AAAA5322AAAA5332AAAA5342AAAA5352TieATieA5362BABA

    5412AAAA5422AAAA5432AAAA5442AAAA5452TieATieA5462BABA

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    5612AAAA5622AAAA5632AAAA5642AAAA5652AAAA5662TieATieA

    6112ATieATie6122ABAB6132ABAB6142ABAB6152ABAB6162TieBTieB

    6212AAAA6222ATieATie6232ATieATie6242ATieATie6252ATieATie6262TieTieTieTie

    6312AAAA6322AAAA6332AAAA6342AAAA6352AAAA6362TieATieA

    6412AAAA6422AAAA6432AAAA6442AAAA6452AAAA6462TieATieA

    6512AAAA6522AAAA6532AAAA6542AAAA6552AAAA6562TieATieA

    6612AAAA6622AAAA6632AAAA6642AAAA6652AAAA6662TieATieA

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    1213BTieBTie1223BBBB1233BBBB1243BBBB1253BBBB1263BBBB

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    2613AAAA2623ATieATie2633ABAB2643ABAB2653ABAB2663TieBTieB

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    3313TieATieA3323TieATieA3333TieTieTieTie3343BTieBTie3353BTieBTie3363BTieBTie

    3413AAAA3423AAAA3433ATieATie3443TieTieTieTie3453BTieBTie3463BTieBTie

    3513AAAA3523AAAA3533ATieATie3543ATieATie3553TieTieTieTie3563BTieBTie

    3613AAAA3623AAAA3633ATieATie3643ATieATie3653ATieATie3663TieTieTieTie

    4113ATieATie4123ABAB4133ABAB4143TieBTieB4153BBBB4163BBBB

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    4313AAAA4323AAAA4333ATieATie4343TieTieTieTie4353BTieBTie4363BTieBTie

    4413AAAA4423AAAA4433AAAA4443TieATieA4453BABA4463BABA

    4513AAAA4523AAAA4533AAAA4543AAAA4553TieATieA4563BABA

    4613AAAA4623AAAA4633AAAA4643AAAA4653AAAA4663TieATieA

    5113ATieATie5123ABAB5133ABAB5143ABAB5153TieBTieB5163BBBB

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    5313AAAA5323AAAA5333ATieATie5343ATieATie5353TieTieTieTie5363BTieBTie

    5413AAAA5423AAAA5433AAAA5443AAAA5453TieATieA5463BABA

    5513AAAA5523AAAA5533AAAA5543AAAA5553TieAT