A card is drawn at random from a standard deck of 52 cards. Find the following c

Question

A card is drawn at random from a standard deck of 52 cards. Find the following conditional probabilities. a) The card is a diamond, given that it is red. b) The card is red. given that it is a diamond. c) The card is a five, given that it is red. d) The card is a queen, given that it is a face card. a) The probability that a card is a diamond, given that it is red. is. b) The probability that a card is red. given that it is a diamond, is. c) The probability that a card is a five, given that it is red, is. d) The probability that a card is a queen, given that it is a face card, is .

Explanation / Answer

a) P(card is diamond given that it is red)=P(red diamond card)/P(red card) = 13/26=1/2

b) P(card is red given that it is diamond)=P(red diamond card)/P(diamond)= 13/13=1

c) P(5 given that it is red)=P(red 5)/P(red)= 2/26 =1/13

d) P( queen given that it is a face card)= P(queen and face card) /P(Face card)= 4/12=1/3

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