Wednesday, October 2, 2013

Probability - exactly one of A and B occurs

Probability - exactly one of A and B occurs

A and B are events that are subsets of the sample space. C is the event
that exactly one of A and B occurs.
1) Write an expression for C in terms of unions, intersections and
complements involving the events A and B
2) Let P be a probability defined on the events of the sample space. Write
an expression for P(C) in terms of P(A), P(B) and P(A¿B). Give proof of
your result.
Would I be right in saying that 1) is just
C=(AUB)-(A¿B)
Or would it be? (A¿B^c)U(A^c ¿B)

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