Question

The probability of event A occurring is 0.27, the probability of event B occurring is 0.19, and the probability of events A and B occurring is 0.11. Determine P(A|B).

0.051
0.350
0.407
0.579

Answer 1

@toga

Answer 2

To determine P(A|B), we can use the formula:

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

We are given that P(A) = 0.27, P(B) = 0.19, and P(A and B) = 0.11.

Using the formula, we get:

P(A|B) = 0.11 / 0.19

Simplifying, we get:

P(A|B) = 0.579

Therefore, the probability of event A occurring given that event B has occurred is 0.579.