Find probability that game end with first round of tosses


Suppose each of three persons tosses a coin. If the outcome of one of the tosses differs from the other outcomes, then the game ends. If not, then the persons start over and retoss their coins. Assuming fair coins, what is the probability that the game will end with the first round of tosses? If all three coins are biased and have probability ¼ of landing heads, what is the probability that the game will end at the first round?

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Basic Statistics: Find probability that game end with first round of tosses
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