Suppose P (E) = 0.25, P (F ) = 0.60, and P (E ∩ F ) = 0.13. Compute the following probabilities (a Venn diagram may help): (a) P (E|F ) (b) P (F |E) (c) P (F |E′) (d) P (E ∩ F | at least one event occurs)

Suppose P (E) = 0.25, P (F ) = 0.60, and P (E ∩ F ) = 0.13. Compute the following probabilities (a Venn diagram may help): (a) P (E|F ) (b) P (F |E) (c) P (F |E′) (d) P (E ∩ F | at least one event occurs)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 30E

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Question

Suppose P (E) = 0.25, P (F ) = 0.60, and P (E ∩ F ) = 0.13. Compute the following
probabilities (a Venn diagram may help):
(a) P (E|F )
(b) P (F |E)
(c) P (F |E′)

(d) P (E ∩ F | at least one event occurs)

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Step 3: b) Calculation of finding P(F|E)

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