Exercise 1 (SOA type). Let us say that we have 2 events A and B which...

Question

Question

Exercise 1 (SOA type). Let us say that we have 2 events A and B which satisfy that P(AUB) = 0.7 and P(AUB) = 0.9. Compute P(B

math Statistics-And-Probability

Answer 1

Answer #1

Solution:

We are given

P(AUB) = 0.7

P(AUB)^c = 1 - P(AUB) = 1 - 0.7 = 0.3

P(AUB)^c = 0.3

P(A^c U B) = 0.9

P(B) = P(A^c U B) - P(AUB)^c

P(B) = 0.9 - 0.3

P(B) = 0.6

Answer: P(B) = 0.6

Answer 2

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