Question

If P(A | B) = 0.40 and P(B) = 0.30, find P(A ∩ B).

A) 0.171
B) 0.525
C) 0.571
D) 0.120

Answer 1

To find the probability of both events A and B occurring, we can use the formula: P(A ∩ B) = P(A | B) * P(B). Given the values, the probability is 0.12.

Step-by-step explanation:

P(A ∩ B) is the probability of both events A and B occurring. To find this, we can use the formula: P(A ∩ B) = P(A | B) * P(B).

Given that P(A | B) = 0.40 and P(B) = 0.30, we can substitute these values into the formula: P(A ∩ B) = 0.40 * 0.30 = 0.12.

Therefore, the correct answer is D) 0.120.