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?

Respuesta :

Step-by-step explanation:

p(A|B) = p(A and B) / p(B) =(1/5) / (2/9) = 0.9

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

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2