Alice and Bob play a game using some dice providing a random integer from 1 to 6. The rules of their game are: Alice wins if no 4 appears after the dice are thrown, bob wins if exactly one 4 appears after the dice are thrown, if two or more 4 appear, the dice are thrown again. How many dice do Alice and Bob need in their game to have equal probability of winning?

Question

Alice and Bob play a game using some dice providing a random integer from 1 to 6.  The rules of their game are: Alice wins if no 4 appears after the dice are thrown, bob wins if exactly one 4 appears after the dice are thrown, if two or more 4 appear, the dice are thrown again.  How many dice do Alice and Bob need in their game to have equal probability of winning?

goformit100 · Answer

First of all for solving this question do you know the conception of : Equations of Probability