(Answered) Each card in a standard 52 card deck has both a suit and a

Management Studies

Each card in a standard 52 card deck has both a "suit" and a "rank". There are 4 suits,which are spades, hearts, diamonds, clubs. There are 13 ranks, 2, 3, . . . , 10, J, Q, K, A.

(a) How many different 5 card hands, drawn from a standard 52 card deck, have a two-pairgiven by having 2 Jacks and 2 Aces? (Note that we want to exclude the possibility ofhaving a full-house, which is a hand with 2 of one rank and 3 of another, here).

(b) Given a standard 52 card deck, what is the probability of drawing a two-pair (and nota full-house) given by having 2 Jacks and 2 Aces if you draw a 5 card hand?

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