Question

PROBABILITY There are 8 girls and 8 boys on the Faculty Advisory Board. Three are juniors. Find the probability of selecting a boy or a girl from the committee who is not a junior.

Short answer

The probability of selecting a boy or a girl from the committee who is not a junior is

$\frac{1}{13}$.

Step-by-step solution

Step 1. Given

There are 8 girls and 8 boys on the Faculty Advisory Board. 3 are juniors.

Step 2. To determine

Find the probability of selecting a boy or a girl from the committee who is not a junior.

Step 3. Calculation

Given: There are 8 girls and 8 boys on the Faculty Advisory Board. 3 are juniors.

So total number of boys and girls = 8 + 8 = 16

Total number of boys and girls who are not junior = 16 – 3 = 13.

So, the probability of selecting a boy or a girl from the committee who is not a junior is $\frac{1}{13}$.