probability becomes P (E₁ IB) = 0.24, P(B) = 0.29. Complete parts a through c. 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 3).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Three events occur with probabilities P (E₁) = 0.39, P (E₂) = 0.11, and P (E3) = 0.47. If the event B occurs, the
probability becomes P (E₁ IB) = 0.24, P(B) = 0.29. Complete parts a through c.
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 3).
Transcribed Image Text:Three events occur with probabilities P (E₁) = 0.39, P (E₂) = 0.11, and P (E3) = 0.47. If the event B occurs, the probability becomes P (E₁ IB) = 0.24, P(B) = 0.29. Complete parts a through c. 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 3).
Expert Solution
Step 1

It is given that 

P(E1) = 0.39

P(E2) = 0.11

P(E3) = 0.47

P(E1/B) = 0.24

P(B) = 0.29

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