Question: Let A and B be events. The difference B-A is defined to be the set of all elements of B that are not in A.

Let A and B be events. The difference B-A is defined to be the set of all elements

of B that are not in A. Show that if ALet A and B be events. The difference B-A is defined toB, then

P(B-A)=P(B)-P(A),

directly using the axioms of probability.

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