Question

You are dealt two cards successively without replacement from a standard deck of 52 playing cards....

You are dealt two cards successively without replacement from a standard deck of 52 playing cards.

Find the probability that the first card is a king and the second card is a queen.

I want the probability that both events will occur. I do not want the probability of each event.

Math   Statistics-And-Probability   
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Answer #1

There are 4 kings (Spade, Club, Diamond, Heart) and 4 queens (Spade, Club, Diamond, Heart) in deck of 52 cards.

Probability that first card is king = 4/52 = 1/13

Now there are 51 cards in deck                (Without replacement)

Probability that second card is queen = 4/51

Probability that the first card is a king and the second card is a queen

= (1/13) * (4/51)

= 0.0060               (Round to 4 decimal)

Probability that the first card is a king and the second card is a queen is 0.0060

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