A drawer contains 12 white socks and 8 black socks. You randomly choose 1 sock and do not replace it. Then you randomly choose another sock.

Event A: The first sock is white.

Event B: The second sock is white.

Find the probability that both events A and B will occur. Round your answer to the nearest tenth.

Question

Mathematics

Quinn Saunders

26 March, 23:12

A drawer contains 12 white socks and 8 black socks. You randomly choose 1 sock and do not replace it. Then you randomly choose another sock.

Event A: The first sock is white.

Event B: The second sock is white.

Find the probability that both events A and B will occur. Round your answer to the nearest tenth.

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Answers (1)

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Marquez · Answer 1

So in event A the probability will be 12/20, which is 3/5. In event B the probability will be 11/19. Multiplying these probabilities we get the probability of both occuring, which is (11*3) / (5*19) = 33/95