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(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
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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