(Answered) A standard 52 card playing deck assigns a unique

Engineering

A standard 52 card playing deck assigns a unique combination of 13 ranks (2,3,4,5,6,7,8,9,10,J,Q,K,A) and 4 suits (Clubs, Diamonds, Hearts, Spades) to each card (13 4 = 52). Suppose 5 cards are selected at random. Derive the probability that each of the following events occurs.

(a) All cards are face cards (J,Q,K) of a single color (all black [spades or clubs] or all red [hearts or diamonds]).

(b) All suits are represented at least once.

Carefully list the tasks used in the application of the rule of product.

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