Cardinalities with compliments and intersections: n(A) = 2 and n(B) = 5 and n(S) = 21. If A ∩ B = ∅ (disjoint), then what is: a) n(Ac ∩ B) b) n(Bc ∩ A) c) n(Ac ∩ Bc) Also (for my understanding), assuming there is a sample space with this, If P(A) were to equal 0.5 and P(B) were to equal = 0.3, is it possible for A and B to be disjoint? What if both P(A) and P(B) were equal 0.5? would it be possible for P(A) and P(B) to be disjoint?

Cardinalities with compliments and intersections: n(A) = 2 and n(B) = 5 and n(S) = 21. If A ∩ B = ∅ (disjoint), then what is: a) n(Ac ∩ B) b) n(Bc ∩ A) c) n(Ac ∩ Bc) Also (for my understanding), assuming there is a sample space with this, If P(A) were to equal 0.5 and P(B) were to equal = 0.3, is it possible for A and B to be disjoint? What if both P(A) and P(B) were equal 0.5? would it be possible for P(A) and P(B) to be disjoint?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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