Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a club and the second card is red? (Round your answer to three decimal places.)

Answer 1

First, let's determine the number of ways we can draw a club as the first card. There are 13 clubs in a standard deck, so the probability of drawing a club as the first card is 13/52.

Now, after drawing a club as the first card, there are 26 red cards left in the deck out of the remaining 51 cards. Therefore, the probability of drawing a red card as the second card is 26/51.

To find the probability of drawing a club followed by a red card, we multiply the two probabilities:

(13/52) * (26/51) = 338/2652 ≈ 0.127

Therefore, the probability that the first card is a club and the second card is red is approximately 0.127.