Question

A student council has nine officers, of which six are girls and three are boys. If two officers are chosen at random to attend a meeting with the principal, what is the probability that the first officer chosen is a girl and the second is a boy? please help

Answer 1

Answer:$\frac{1}{4}$

Step-by-step explanation:

Given

Student council has 6 girls and 3 boys

If two person chosen at random

Probability that first officer is girl and second is a boy

$=\text{Probability of choosing a girl officer}\times \text{Probability of choosing a boy officer}$

$=\frac{^6C_1}{^9C_1}\times \frac{^3C_1}{^8C_1}$

$=\frac{6}{9}\times \frac{3}{8}$

$=\frac{1}{4}$