1.

Find the probability of drawing a spade card in each of twoconsecutive draws from a well shuffled pack of cards.iil if the card drawn is not replaced after the first draw.(ii) if the card drawn is replaced after the first draw

Answer»

As there are 52 cards in a deck .And there are 13 spades in it.So probability of drawing a spade is 13/52.

(1) Card is not replaced As one card is already drawn , so there are 51 cards left and 12 spades.Hence probability of drawing another spade is = 12/ 51

Hence the probability of drawing two spades = (13/52)*(12/51) = 156/2652= .058

(2) Card is replacedso there are 52 cards and 13 spades.Hence probability of drawing another spade is = 13/52

Hence the probability of drawing two spades = (13/52)*(13/52) = 169/2704= .0625



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