1) Suppose that a single card is selected from a standard 52-card deck. What is

Question

1) Suppose that a single card is selected from a standard 52-card deck. What is the probability that the card drawn is a queen? Now suppose that a single card is drawn from a standard

52-card deck, but it is told that the card is court (jack, queen or king) What is the probability that the card drawn is a queen?

2) Suppose that two cards are randomly selected from a standard 52-card deck.

(a) What is the probability that the first card is a king and the second card is a king if the sampling is done without replacement?

(b) What is the probability that the first card is a king and the second card is a king if the sampling is done with replacement?

Explanation / Answer

1.In a standard 52 card deck, number of queens is 4

Thus, probability that the card drawn isqueen is 4/52 = 1/13

A- event that queen is drawn

B- Event that the card is court.

To find P(A/B)

P(A/B) =P(A INT B) / P(B)

A IS subset of B, P(A int B) = P(A)

Thus, P(A/B) = (1/13)/(3*4 /52) =1/3

2.

a. Probablity that first card nd second card is king is 4 c 1 * 3 c 1 (without replacement)

Reqd Probability = 4 * 3 /52 *51 = 1/221

b. If replacement ismade, required probability = 4*4 / 52*52 =1/169

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