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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 |
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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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