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 the events E₁, E₂, and E₃ are independent, we can simply multiply their individual probabilities to get the probability of all three events occurring: P(E₁ and E₂ and E₃) = P(E₁) * P(E₂) * P(E₃) = 0.35 * 0.15 * 0.4 = 0.021 Therefore, the answer is C.

Three Events Occur with Probabilities P(E1)= 0

Three Events Occur with Probabilities P(E₁)= 0