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.Compute P(E₁ or B). A)0.575 B)0.075 C)0.021 D)0.475

Question

Quizplus · Accepted Answer

P(E₁ or B) = P(E₁) + P(B) - P(E₁ and B). P(E₁ and B) = P(E₁|B) * P(B) = 0.25 * 0.30 = 0.075. Therefore, P(E₁ or B) = 0.35 + 0.30 - 0.075 = 0.575.

Three Events Occur with Probabilities P(E1)= 0

Three Events Occur with Probabilities P(E₁)= 0