The probabilities of events A, B, and A Intersection B are given. Find (a) P(A U

Question

The probabilities of events A, B, and A Intersection B are given. Find (a) P(A Union B), (b) the odds in favor of and the odds against A, and (c) the odds in favor of and the odds against B. P(A) = 2/9, P(B) = 7/9, P(A intersection B)? = 0 P(A union B)= (Simplify your answer.) b. The odds in favor of A occurring, in lowest terms, are : (Type whole numbers.) The odds against A, in lowest terms, are : (Type whole numbers.) The odds in favor of B occurring, in lowest terms, are : (Type whole numbers.) The odds against B, in lowest terms, are : (Type whole numbers.)

Explanation / Answer

a)

P(AUB) = P(A) + P(B) - P(A and B)

= 2/9 + 7/9

= 1

b)

odds in favor of A occuring = 2 : 9

odds against A = 7:9

c)

odds in favor of B occuring = 7:9

odds in against B = 2:9

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