In an experiment, the probability that event A occurs is 5/8 , the probability that event B occurs is 2/9 , and the probability that events A and B both occur is 1/5 . What is the probability that A occurs given that B occurs?

The probability that event A occurs is 5/8 , the probability that event B occurs is 2/9 , and the probability that events A and B both occur is 1/5 . The probability that A occurs given that B occurs is 0.9.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

The probability that event A occurs is 5/8

The probability that event B occurs is 2/9

The probability that events A and B both occur is 1/5.

So, The probability that A occurs given that B occurs

P(A|B) = P(A and B) / P(B)

= (1/5) / (2/9)

= 0.9

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https://brainly.com/question/11234923

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