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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.

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 three persons start over and re-toss their coins. a). Assuming fair coins, what is the probability that the game will end with the first round of tosses? b). If all three coins are biased and have probability of 0.25 of landing heads, what is the probability that the game will end at the first round?

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