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