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?