Question

what is the probability that either event a or event b will occur? p(a) = 9/17 p(b) = 2/17 p(a or b) = p(a) + p(b) p(a or b) =?/17

Explanation:

Step1: Apply probability formula

We know that for mutually - exclusive events (as the Venn diagram shows no overlap), $P(A\ or\ B)=P(A)+P(B)$. Given $P(A)=\frac{9}{17}$ and $P(B)=\frac{2}{17}$.

Step2: Calculate sum

$P(A\ or\ B)=\frac{9}{17}+\frac{2}{17}=\frac{9 + 2}{17}$.

Answer:

$\frac{11}{17}$