A deck of 11 cards contains 4 red and 7 green cards. Shuffle this deck, then...

A deck of 11 cards contains 4 red and 7 green cards. Shuffle this deck, then deal 5 cards to Alice and 6 cards to Bob (without any replacement, of course). Let X be the number of red cards that Alice gets, and Y the number of red cards that Bob gets. (a) Write down the joint probability mass function of X and Y . (Write a formula rather than a table.) (b) Are X and Y independent? (c) Compute the conditional probability P(X = 1|Y = 1). Give the result as a decimal.

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orchestra answered 1 year ago

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