Question

For two independent events A and B, if P(A) = 0.40 and P(B) = 0.20, what is the probability of event A occurring given that event B has occurred?

Answer 1

The probability of event A occurring given that event B has occurred is 0.4 or 40%.

Step-by-step explanation:

To find the probability of event A occurring given that event B has occurred, we can use the formula:

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

Given that P(A) = 0.40 and P(B) = 0.20, we can substitute these values into the formula:

P(A|B) = P(A AND B) / P(B) = 0.08 / 0.20 = 0.4

Therefore, the probability of event A occurring given that event B has occurred is 0.4 or 40%.