A card is drawn from a well-shuffled deck of 52 cards and without replacing this card, a second card is drawn. Find the probability that the first card is a club and the second card is a spade.

Given: a well shuffled deck of 52 cards. Each draw is independent of the other.


To find: the probability that the first card is drawn is a club and the second card is a spade.


Let , success for the first trail be getting a club.


Now , the Probability of success in the first trial is


P1(success) =


let , success for the second trail be getting a spade.


Probability of success in the second trial without replacement of the first draw is given by


P2(success) =


Hence , the probability that the first card is drawn is a club and the second card is a spade ,with each trial being independent is given by


P1 P2 = =


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