Question

find the probability that event a or b will occur. p(a or b) = ?

Explanation:

Step1: Recall probability formula

The formula for $P(A\ or\ B)$ is $P(A\cup B)=P(A)+P(B)-P(A\cap B)$. Here, $P(A)=\frac{7 + 2}{17}$, $P(B)=\frac{4+2}{17}$, and $P(A\cap B)=\frac{2}{17}$.

Step2: Calculate $P(A)$ and $P(B)$

$P(A)=\frac{7 + 2}{17}=\frac{9}{17}$, $P(B)=\frac{4 + 2}{17}=\frac{6}{17}$.

Step3: Apply the formula

$P(A\cup B)=\frac{9}{17}+\frac{6}{17}-\frac{2}{17}=\frac{9 + 6- 2}{17}=\frac{13}{17}$.

Answer:

$\frac{13}{17}$