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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?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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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?

 

 

 

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