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One card is drawn from a well-shuffled pack of 52 cards. What is the probability that a card will be (i) a diamond (ii) Not an ace (iii)a black card (iv) not a diamond
Dear Studenti) the probability that a card is a diamondWe know that there are 13 diamond cards in a deck.Therefore, the required probability is:P( getting a diamond card) = 13/52 = ¼(ii) the probability that a card is not an aceWe know that there are 4 ace cards in a deck.Therefore, the required probability is:P(not getting an ace card) = 1-( 4/52)= 1- (1/13)=(13-1)/13= 12/13(iii) the probability that a card is a black cardWe know that there are26 black cards in a deck.Therefore, the required probability is:P(getting a black card) = 26/52 = ½(iv) the probability that a card is not a diamondWe know that there are 13 diamond cards in a deck.We know that the probability of getting a diamond card is 1/4Therefore, the required probability is:P( not getting a diamond card) = 1- (1/4)= (4-1)/4= ¾Thanks
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