Question: 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)

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.

a. Calculate P(E1 and B)

b. Compute P(E1 or B)

c. Assume that E1, E2, and E3 are independent events. Calculate P(E1 and E2 and E3).

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