Just as the difference rule gives rise to a formula for the probability of the
Chapter 9, Problem 18(choose chapter or problem)
Just as the difference rule gives rise to a formula for theprobability of the complement of an event, so the addition
and inclusion/exclusion rules give rise to formulas for
the probability of the union of mutually disjoint events and
for a general union of (not necessarily mutually exclusive)
events.
a. Prove that for mutually disjoint events A and B,
P(A ? B) = P(A) + P(B).
b. Prove that for any events A and B.
P(A ? B) = P(A) + P(B) ? P(A ? B).
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