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

Answer:

$\frac{7}{9}$

Explanation:

Step1: Recall probability formula

For mutually - exclusive events, $P(A\ or\ B)=P(A)+P(B)$.

Step2: Identify probabilities

Given $P(A)=\frac{2}{9}$ and $P(B)=\frac{5}{9}$.

Step3: Calculate $P(A\ or\ B)$

$P(A\ or\ B)=\frac{2}{9}+\frac{5}{9}=\frac{2 + 5}{9}=\frac{7}{9}$