Rework problem 7 from section 3.1 of your text, involving events E, F, and G in a sample space S. Assume that Pr[E] = 0.4, Pr[F] = 0.6, Pr[G] = 0.55, Pr[EU F] = 0.8, Pr[EU G] = 0.7, and Pr[FUG] = 0.75. Find the following probabilities: (1) Pr[E' U F] = (2) Pr[F' n G] : (3) Pr[EN G] =

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Rework problem 7 from section 3.1 of your text, involving events E, F, and G in a sample space S. Assume that
Pr[E] = 0.4, Pr[F] = 0.6, Pr[G]
= 0.55, Pr[E U F] = 0.8, Pr[E U G] = 0.7, and Pr[F U G] = 0.75. Find the following
probabilities:
(1) Pr[E' U F] =
(2) Pr[F'n G] =
(3) Pr[ENG]
Transcribed Image Text:Rework problem 7 from section 3.1 of your text, involving events E, F, and G in a sample space S. Assume that Pr[E] = 0.4, Pr[F] = 0.6, Pr[G] = 0.55, Pr[E U F] = 0.8, Pr[E U G] = 0.7, and Pr[F U G] = 0.75. Find the following probabilities: (1) Pr[E' U F] = (2) Pr[F'n G] = (3) Pr[ENG]
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