Question

In a deck of 52 playing cards, what is the probability of drawing a club and then a second club?

A) 1/52
B) 1/26
C) 1/13
D) 1/17

Answer 1

The probability of drawing two clubs in succession without replacement from a 52-card deck is found by multiplying the probabilities of each draw: 1/4 (first draw) and 12/51 (second draw), resulting in 1/17.

Step-by-step explanation:

The question asks about the probability of drawing a club card twice from a standard 52-card deck without replacement. Since there are 13 clubs, the probability of drawing a club on the first draw is 13/52, which simplifies to 1/4. If we do not replace the first card, the deck now has 51 cards and 12 clubs left, making the probability of drawing a second club 12/51. To find the overall probability, we multiply the probabilities of each event: (1/4) * (12/51) = (12/204) which simplifies to 1/17 after reducing the fraction. Therefore, the correct answer is D) 1/17.