A. Draw two cards from a standard deck of 52 playing cards successively. (1) Wha

Question

A. Draw two cards from a standard deck of 52 playing cards successively. (1) What is the conditional probability that the second card is a king given that the first card is a king? (a) 0.059 (b) 0.078 () 0.053 (d) 0.091 (2) What is the conditional probability that the second card is a king given that the first card is a diamond? (a) 0.059 (b) 0.077 () 0.250 (d) 0.333 (3) What is the probability that at least one card is a king? (a) 0.059 (b) 0.079 (c) 0.149 (d) 0.250 (4) What is the probability that exactly one card is a king? (a) 0.059 (b) 0.145 (c) 0.153 (d) 0.250

Explanation / Answer

(1)

Out of 52 cards, 4 are kings.

After selecting first card king, number of cards is 51. In these 51 cards, 3 are king. So

P(second king | first king) = 3/51 = 0.059

Correct option is (a).

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