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.Calculate P(E₁ and B). A)0.575 B)0.075 C)0.021 D)0.475

Name: Three events occur with probabilities P(E 1 )= 0.35,P(E 2 )= 0.15,P(E 3 )= 0.40.If the event B occurs,the probability becomes P(E 1 |B)= 0.25,P(B)= 0.30.Calculate P(E 1 and B). A)0.575 B)0.075 C)0.021 D)0.475
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Question

Quizplus · Accepted Answer

P(E₁ and B) = P(E₁|B) * P(B) = 0.25 * 0.30 = 0.075.

Three Events Occur with Probabilities P(E1)= 0

Three Events Occur with Probabilities P(E₁)= 0