Question

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.

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

Answer 2

The probability that both events A and B will occur to the nearest tenth is 0.25.

What is the probability that both events would occur?

Probability is used to determine the likelihood that a stated event would occur. The probability that the stated event would occur lies between 0 and 1.

The probability that both events A and B will occur = (number of white socks / total number of socks) x  (number of white socks / total number of socks- 1)

12/20 x 8/19 = 0.25

To learn more about probability, please check: https://brainly.com/question/11234923

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