Q51. - Algebra 2

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.

Step-by-Step Solution

Answer

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

$\frac{1}{13}$.

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 $\frac{1}{13}$.