If p(a)=.44, p(b)=.27 and p(a or b)=.6, are a and b mutually exclusive events ? Why or why not?

If p(a)=.44, p(b)=.27 and p(a or b)=.6, are a and b mutually exclusive events? Why or why not?
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1 Answer

p(a or b)=p(a)+p(b)-p(a and b).

0.6=0.44+0.27-p(a and b), so p(a and b)=0.71-0.6=0.11.

If they were mutually exclusive events they could not occur together, but there is a probability associated with the events occurring together. Therefore they cannot be mutually exclusive.

by Top Rated User (1.2m points)

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