Three Events Occur with Probabilities P(E1) = 0

Multiple Choice

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