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Solution Summary

Given that the probability that A occurs is 0.3, the probability that B does not occur is 0.6, and the probability that either A or B occurs is 0.5, find
(a) The probability that A does not occur.
(b) The probability that both A and B occur.
(c) The probability that A occurs and B does not occur.

Solution Preview

The formulas you need are these:
<br>Probability of event A occuring is 1 - the probability of A not occuring, or shorthand:
<br>P(A) = 1 - P(not A)
<br>Do the algebra and you also get
<br>P(not A) = 1 - P(A)
<br>You are given P(A) = 0.3
<br>a) So P(not A) = 1 - P(A) = 1 - 0.3 = 0.7
<br>Imagine the Venn Diagram with overlapping circles A and B. The area inside A can be proportional to the ...

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