Suppose that events A 1 , A 2 , and A 3 form a partition of the sample space S with P(A 1 ) 0 35, P(A 2 ) 0 45, and P(A 3 ) 0 2 If E is an event that is a subset of S and P(E A 1 ) 0 25, P(E A 2 ) 0 18, and P(E A 3 ) 0 14, find P(E)

Question: Suppose that events A 1 , A 2 , and A 3 form a partition of the sample space S with P(A 1 ) =

Suppose that events A₁, A₂, and A₃ form a partition of the sample space S with P(A₁) = 0.35, P(A₂) = 0.45, and P(A₃) = 0.2. If E is an event that is a subset of S and P(E|A₁) = 0.25, P(E|A₂) = 0.18, and P(E|A₃) = 0.14, find P(E).

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