Probability

Question

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a club? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

Assuming the deck has 52 cards, 26 of them are black, and a club is black.

Once the club is drawn without replacement, how many black cards remain in the deck? And how many cards in the deck?

Divide the number of remaining black cards by the number of remaining cards in the deck. That's the fraction you want.