2. Conditional probability The Venn diagram below depicts a sample space (S) where the dots are outcomes and the A, 8 and € subsets are events Red outcomes are twice as likely than the black outcomes. Calculate the below probabilities2) [5 pts] P(A |C) =b) [5 pts] P(B | (Ae C)) -c) [5 pts] P(C UB|A) =
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The accompanying Venn diagram illustrates a sample space containing six sample points and three events, A, B, and C. The probabilities of the sample points are P(1)=.3, P(2)=.2, P(3)=.1, P(4)=.1, P(5)=.1, and P(6)=.2 a. Find P(A ∩B), P(B ∩C), P(A ∪C), P(A ∪B ∪C), P(B^c), P(A^c ∩B), P(B |C), and P(B |A) b. Are A and B independent? Mutually exclusive? Why? c. Are B and C independent? Mutually exclusive? Why? | Numerade
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