Let A, B, and C be three events, such that each event has a probability of 1/2, each intersection of two has a probability of 1/4, and  P[A∩B∩C] = 1/8. Find the probability that all the events occur.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Let A, B, and C be three events, such that each event has a probability of 1/2, each intersection of two has a probability of 1/4, and  P[A∩B∩C] = 1/8. Find the probability that all the events occur.

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