Question

two cards are drawn without replacement from a standard deck of 52 playing cards. what is the probability of choosing a diamond and then, without replacement, a black card? express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

13/102

Explanation:

We start with 52 playing cards. Of these 52 cards, 13 are diamonds, So the probability of a diamond is 13/52, or 1/4. There are now 51 cards left. Since the diamond is a red card, there are 26 black cards. So the probability of a black card is 26/51. Multiplying 1/4 and 26/51, and then simplifying, we have 13/102.