Let A, B, and C be subsets of a universal set U and suppose n(U) = 150, n(A) = 27, n(B) = 29, n(C) = 33, n(A ∩ B) = 5, n(A ∩ C) = 9, n(B ∩ C) = 13, and n(A ∩ B ∩ C) = 4. Compute: (a)    n[A ∩ (B ∪ C)] (b)    n[A ∩ (B ∪ C)c]

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Let AB, and C be subsets of a universal set U and suppose n(U) = 150, n(A) = 27, n(B) = 29, n(C) = 33, n(A ∩ B) = 5, n(A ∩ C) = 9, n(B ∩ C) = 13, and n(A ∩ B ∩ C) = 4. Compute:

(a)    n[A ∩ (B ∪ C)]


(b)    n[A ∩ (B ∪ C)c]
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