help needed with propability assignment

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mehdi_an

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The World Series is a seven-game series that terminates
as soon as either team wins four games. Let X be the random variable
that represents the outcome of a World Series between teams A and
B; possible values of X are AA& BABABAB, and BBBAAAA. Let Y
be the number of games played, which ranges from 4 to 7. Assuming
that A and B are equally matched and that the games are indepen-
dent, calculate H(X), H(Y), H(YIX), and H(X)Y).
 

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