Three events occur with probabilities P(E1) = 0.35, P(E2) = 0.15, P(E3) = 0.40. If the event B occurs, the probability becomes P(E1|B) = 0.25, P(B) = 0.30. Assume that E1, E2, and E3 are independent events. Calculate P(E1 and E2 and E3).
A) 0.575
B) 0.075
C) 0.021
D) 0.475

Question

Quizplus · Accepted Answer

Since E1, E2, and E3 are independent, P(E1 and E2 and E3) = P(E1) * P(E2) * P(E3) = 0.35 * 0.15 * 0.40 = 0.021.

Three Events Occur with Probabilities P(E1) = 0