= Suppose k events for a partition of the sample space , i.e., they are disjoint and Ut_1 Ai < P(A₁), then P(A¿|B) > P(A;) for №. Assume that P(B) > 0. Prove that if P(A₁|B) some i 2.....k.

Elements Of Modern Algebra
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ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
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Suppose k events for a partition of the sample space №, i.e., they are disjoint and U₁_1 A; =
i=1
N. Assume that P(B) > 0. Prove that if P(A₁|B) < P(A₁), then P(A;|B) > P(A;) for
some i = 2,..., k.
Transcribed Image Text:Suppose k events for a partition of the sample space №, i.e., they are disjoint and U₁_1 A; = i=1 N. Assume that P(B) > 0. Prove that if P(A₁|B) < P(A₁), then P(A;|B) > P(A;) for some i = 2,..., k.
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