Question

Suppose that we have two events, A and B, with

P(A) = 0.40,
P(B) = 0.60,
and
P(A ∩ B) = 0.20.
(a)FindP(A | B

Answer 1

To find P(A | B), we can use the formula: P(A | B) = P(A ∩ B) / P(B). Given the values of P(A), P(B), and P(A ∩ B), we can substitute these values into the formula to find the probability.

Step-by-step explanation:

To find P(A | B), we can use the formula:
P(A | B) = P(A ∩ B) / P(B)

Given that P(A) = 0.40, P(B) = 0.60, and P(A ∩ B) = 0.20, we can substitute these values into the formula:
P(A | B) = 0.20 / 0.60 = 1/3

Therefore, the probability of event A occurring given that event B has occurred is 1/3.