Question

We have to choose 5 people to form a student government. We have to pick 5 people out of 7 girls and 5 boys.

Answer 1

Answer:

The probability of picking at least three boys is $\frac{5}{41}$ .

Step-by-step explanation:

We have to choose 5 people to form a student government.

We have to pick 5 people out of 7 girls and 5 boys.

What is the probability that at least 3 boys are a part of the student government?

The probability of picking 5 people out of 12 girls and boys = $\frac{5}{12}$

The probability of picking at least 3 boys excludes the probability of picking 3 girls. The probability of picking 3 girls = $\frac{3}{7}$

The probability of picking at least 3 boys = 1 - $\frac{3}{7}$ = $\frac{2}{7}$

The probability of picking 5 people and the probability of picking at least 3 boys = $\frac{5}{12}$ × $\frac{2}{7}$ = $\frac{5}{41}$