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Question
what is the probability that either event a or event b will occur?
start by finding the probability of event a.
p(a) = \frac{?}{17}
Step1: Analyze the probability of event A
The probability of event A consists of two parts: the part only in A and the part overlapping with the other region.
$$P(A)=\frac{9}{17}+\frac{6}{17}$$
Step2: Calculate the sum
Add the two fractions. Since the denominators are the same, add the numerators.
$$\frac{9 + 6}{17}=\frac{15}{17}$$
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$\frac{15}{17}$