# 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

1111TieTieTieTie1121BTieBTie1131BTieBTie1141BTieBTie1151BTieBTie1161BTieBTie

1211ATieATie1221TieTieTieTie1231BTieBTie1241BTieBTie1251BTieBTie1261BTieBTie

1311ATieATie1321ATieATie1331TieTieTieTie1341BTieBTie1351BTieBTie1361BTieBTie

1411ATieATie1421ATieATie1431ATieATie1441TieTieTieTie1451BTieBTie1461BTieBTie

1511ATieATie1521ATieATie1531ATieATie1541ATieATie1551TieTieTieTie1561BTieBTie

1611ATieATie1621ATieATie1631ATieATie1641ATieATie1651ATieATie1661TieTieTieTie

2111ATieATie2121TieTieTieTie2131BTieBTie2141BTieBTie2151BTieBTie2161BTieBTie

2211AAAA2221TieATieA2231BABA2241BABA2251BABA2261BABA

2311AAAA2321AAAA2331TieATieA2341BABA2351BABA2361BABA

2411AAAA2421AAAA2431AAAA2441TieATieA2451BABA2461BABA

2511AAAA2521AAAA2531AAAA2541AAAA2551TieATieA2561BABA

2611AAAA2621AAAA2631AAAA2641AAAA2651AAAA2661TieATieA

3111ATieATie3121ATieATie3131TieTieTieTie3141BTieBTie3151BTieBTie3161BTieBTie

3211AAAA3221AAAA3231TieATieA3241BABA3251BABA3261BABA

3311AAAA3321AAAA3331TieATieA3341BABA3351BABA3361BABA

3411AAAA3421AAAA3431AAAA3441TieATieA3451BABA3461BABA

3511AAAA3521AAAA3531AAAA3541AAAA3551TieATieA3561BABA

3611AAAA3621AAAA3631AAAA3641AAAA3651AAAA3661TieATieA

4111ATieATie4121ATieATie4131ATieATie4141TieTieTieTie4151BTieBTie4161BTieBTie

4211AAAA4221AAAA4231AAAA4241TieATieA4251BABA4261BABA

4311AAAA4321AAAA4331AAAA4341TieATieA4351BABA4361BABA

4411AAAA4421AAAA4431AAAA4441TieATieA4451BABA4461BABA

4511AAAA4521AAAA4531AAAA4541AAAA4551TieATieA4561BABA

4611AAAA4621AAAA4631AAAA4641AAAA4651AAAA4661TieATieA

5111ATieATie5121ATieATie5131ATieATie5141ATieATie5151TieTieTieTie5161BTieBTie

5211AAAA5221AAAA5231AAAA5241AAAA5251TieATieA5261BABA

5311AAAA5321AAAA5331AAAA5341AAAA5351TieATieA5361BABA

5411AAAA5421AAAA5431AAAA5441AAAA5451TieATieA5461BABA

5511AAAA5521AAAA5531AAAA5541AAAA5551TieATieA5561BABA

5611AAAA5621AAAA5631AAAA5641AAAA5651AAAA5661TieATieA

6111ATieATie6121ATieATie6131ATieATie6141ATieATie6151ATieATie6161TieTieTieTie

6211AAAA6221AAAA6231AAAA6241AAAA6251AAAA6261TieATieA

6311AAAA6321AAAA6331AAAA6341AAAA6351AAAA6361TieATieA

6411AAAA6421AAAA6431AAAA6441AAAA6451AAAA6461TieATieA

6511AAAA6521AAAA6531AAAA6541AAAA6551AAAA6561TieATieA

6611AAAA6621AAAA6631AAAA6641AAAA6651AAAA6661TieATieA

1112BTieBTie1122BBBB1132BBBB1142BBBB1152BBBB1162BBBB

1212TieTieTieTie1222TieBTieB1232BBBB1242BBBB1252BBBB1262BBBB

1312ATieATie1322ABAB1332TieBTieB1342BBBB1352BBBB1362BBBB

1412ATieATie1422ABAB1432ABAB1442TieBTieB1452BBBB1462BBBB

1512ATieATie1522ABAB1532ABAB1542ABAB1552TieBTieB1562BBBB

1612ATieATie1622ABAB1632ABAB1642ABAB1652ABAB1662TieBTieB

2112TieTieTieTie2122TieBTieB2132BBBB2142BBBB2152BBBB2162BBBB

2212TieATieA2222TieTieTieTie2232BTieBTie2242BTieBTie2252BTieBTie2262BTieBTie

2312AAAA2322ATieATie2332TieTieTieTie2342BTieBTie2352BTieBTie2362BTieBTie

2412AAAA2422ATieATie2432ATieATie2442TieTieTieTie2452BTieBTie2462BTieBTie

2512AAAA2522ATieATie2532ATieATie2542ATieATie2552TieTieTieTie2562BTieBTie

2612AAAA2622ATieATie2632ATieATie2642ATieATie2652ATieATie2662TieTieTieTie

3112ATieATie3122ABAB3132TieBTieB3142BBBB3152BBBB3162BBBB

3212AAAA3222ATieATie3232TieTieTieTie3242BTieBTie3252BTieBTie3262BTieBTie

3312AAAA3322AAAA3332TieATieA3342BABA3352BABA3362BABA

3412AAAA3422AAAA3432AAAA3442TieATieA3452BABA3462BABA

3512AAAA3522AAAA3532AAAA3542AAAA3552TieATieA3562BABA

3612AAAA3622AAAA3632AAAA3642AAAA3652AAAA3662TieATieA

4112ATieATie4122ABAB4132ABAB4142TieBTieB4152BBBB4162BBBB

4212AAAA4222ATieATie4232ATieATie4242TieTieTieTie4252BTieBTie4262BTieBTie

4312AAAA4322AAAA4332AAAA4342TieATieA4352BABA4362BABA

4412AAAA4422AAAA4432AAAA4442TieATieA4452BABA4462BABA

4512AAAA4522AAAA4532AAAA4542AAAA4552TieATieA4562BABA

4612AAAA4622AAAA4632AAAA4642AAAA4652AAAA4662TieATieA

5112ATieATie5122ABAB5132ABAB5142ABAB5152TieBTieB5162BBBB

5212AAAA5222ATieATie5232ATieATie5242ATieATie5252TieTieTieTie5262BTieBTie

5312AAAA5322AAAA5332AAAA5342AAAA5352TieATieA5362BABA

5412AAAA5422AAAA5432AAAA5442AAAA5452TieATieA5462BABA

5512AAAA5522AAAA5532AAAA5542AAAA5552TieATieA5562BABA

5612AAAA5622AAAA5632AAAA5642AAAA5652AAAA5662TieATieA

6112ATieATie6122ABAB6132ABAB6142ABAB6152ABAB6162TieBTieB

6212AAAA6222ATieATie6232ATieATie6242ATieATie6252ATieATie6262TieTieTieTie

6312AAAA6322AAAA6332AAAA6342AAAA6352AAAA6362TieATieA

6412AAAA6422AAAA6432AAAA6442AAAA6452AAAA6462TieATieA

6512AAAA6522AAAA6532AAAA6542AAAA6552AAAA6562TieATieA

6612AAAA6622AAAA6632AAAA6642AAAA6652AAAA6662TieATieA

1113BTieBTie1123BBBB1133BBBB1143BBBB1153BBBB1163BBBB

1213BTieBTie1223BBBB1233BBBB1243BBBB1253BBBB1263BBBB

1313TieTieTieTie1323TieBTieB1333TieBTieB1343BBBB1353BBBB1363BBBB

1413ATieATie1423ABAB1433ABAB1443TieBTieB1453BBBB1463BBBB

1513ATieATie1523ABAB1533ABAB1543ABAB1553TieBTieB1563BBBB

1613ATieATie1623ABAB1633ABAB1643ABAB1653ABAB1663TieBTieB

2113BTieBTie2123BBBB2133BBBB2143BBBB2153BBBB2163BBBB

2213BABA2223BTieBTie2233BBBB2243BBBB2253BBBB2263BBBB

2313TieATieA2323TieTieTieTie2333TieBTieB2343BBBB2353BBBB2363BBBB

2413AAAA2423ATieATie2433ABAB2443TieBTieB2453BBBB2463BBBB

2513AAAA2523ATieATie2533ABAB2543ABAB2553TieBTieB2563BBBB

2613AAAA2623ATieATie2633ABAB2643ABAB2653ABAB2663TieBTieB

3113TieTieTieTie3123TieBTieB3133TieBTieB3143BBBB3153BBBB3163BBBB

3213TieATieA3223TieTieTieTie3233TieBTieB3243BBBB3253BBBB3263BBBB

3313TieATieA3323TieATieA3333TieTieTieTie3343BTieBTie3353BTieBTie3363BTieBTie

3413AAAA3423AAAA3433ATieATie3443TieTieTieTie3453BTieBTie3463BTieBTie

3513AAAA3523AAAA3533ATieATie3543ATieATie3553TieTieTieTie3563BTieBTie

3613AAAA3623AAAA3633ATieATie3643ATieATie3653ATieATie3663TieTieTieTie

4113ATieATie4123ABAB4133ABAB4143TieBTieB4153BBBB4163BBBB

4213AAAA4223ATieATie4233ABAB4243TieBTieB4253BBBB4263BBBB

4313AAAA4323AAAA4333ATieATie4343TieTieTieTie4353BTieBTie4363BTieBTie

4413AAAA4423AAAA4433AAAA4443TieATieA4453BABA4463BABA

4513AAAA4523AAAA4533AAAA4543AAAA4553TieATieA4563BABA

4613AAAA4623AAAA4633AAAA4643AAAA4653AAAA4663TieATieA

5113ATieATie5123ABAB5133ABAB5143ABAB5153TieBTieB5163BBBB

5213AAAA5223ATieATie5233ABAB5243ABAB5253TieBTieB5263BBBB

5313AAAA5323AAAA5333ATieATie5343ATieATie5353TieTieTieTie5363BTieBTie

5413AAAA5423AAAA5433AAAA5443AAAA5453TieATieA5463BABA

5513AAAA5523AAAA5533AAAA5543AAAA5553TieAT

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