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let B be a subset of A. use axioms of probability to explain the relation between...

let B be a subset of A. use axioms of probability to explain the relation between PA and PB.

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Answer #1

Given that, Then, Where

The axioms of probability are, 1) For any event A, (Non-negativity)

2) (Norm)

3) If A1, A2,...,An are mutually exclusive events then,

Now, (From Axiom 3)

As,   (From Axiom 1)   

This is the relationship between P(A) and P(B) when B is a subset of A

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