A deck of cards has: 4 cards of suit A, 5 cards of suit B, 7 cards of suit C, A hand is a subset of 4 cards. (a) How many hands are there? (b) What is the probability of getting a hand with: 1 card of suit A, 1 card of suit B, and 2 cards of suit C? Please round to at least 6 decimal places.

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A: Solution  To find the probability we will use Bayes theorem.

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