Consider a modified version of the board game RISK in which player A is attacking player B. At the beginning of each turn, player A rolls N 4-sided dice where N+1 is the number of armies that player A has (So if A has 3 armies, A starts by rolling 2 4-sided dice). Player B always rolls a single 6-sided die. If the biggest roll among the dice that A rolls is bigger than player B's roll, then player B loses an army. If all of player A's rolls are less than player B's roll, then player A loses an army. If it is a tie, neither player loses an army. The rolls are repeated until either B has no armies (A has captured the territory) or A has only one army (the attack has been repelled).If A has two armies and B has one army find the probability for each event: A loses an army, B loses an army and neither lose an armyIf A has three armies and B has one army find the find the probability for each event: A loses an army, B loses an army and neither lose an armyIf A has three armies and B has one army find the probability for each event: A loses an army, B loses an army and neither lose an armyIf A has two armies and B has two armies find the probability for each event: A loses an army, B loses an army and neither lose an armyIf A has three armies and B has two armies find the probability for each event: A loses an army, B loses an army and neither lose an armyFinally: If A has three armies and B has two armies find the probability of the events: A captures the territory and B repels the attack.

Name: Consider a modified version of the board game RISK in which player A i
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Description: Consider a modified version of the board game RISK in which player A is attacking player B. At the beginning of each turn, player A rolls N 4-sided dice where N+1 is the number of armies that player A has (So if A has 3 armies, A starts by rolling 2

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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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Consider a modified version of the board game RISK in which player A is attacking player B. At the beginning of each turn, player A rolls N 4-sided dice where N+1 is the number of armies that player A has (So if A has 3 armies, A starts by rolling 2 4-sided dice). Player B always rolls a single 6-sided die. If the biggest roll among the dice that A rolls is bigger than player B's roll, then player B loses an army. If all of player A's rolls are less than player B's roll, then player A loses an army. If it is a tie, neither player loses an army. The rolls are repeated until either B has no armies (A has captured the territory) or A has only one army (the attack has been repelled).

If A has two armies and B has one army find the probability for each event: A loses an army, B loses an army and neither lose an army
If A has three armies and B has one army find the find the probability for each event: A loses an army, B loses an army and neither lose an army
If A has three armies and B has one army find the probability for each event: A loses an army, B loses an army and neither lose an army
If A has two armies and B has two armies find the probability for each event: A loses an army, B loses an army and neither lose an army
If A has three armies and B has two armies find the probability for each event: A loses an army, B loses an army and neither lose an army
Finally: If A has three armies and B has two armies find the probability of the events: A captures the territory and B repels the attack.

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