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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 :

Answer:[tex]\frac{1}{4}[/tex]

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

[tex]=\text{Probability of choosing a girl officer}\times \text{Probability of choosing a boy officer}[/tex]

[tex]=\frac{^6C_1}{^9C_1}\times \frac{^3C_1}{^8C_1}[/tex]

[tex]=\frac{6}{9}\times \frac{3}{8}[/tex]

[tex]=\frac{1}{4}[/tex]

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