A class has 11 boys and 9 girls. Two of the students will be selected at random to serve on a committee. What is the probability that both of the selected students will be girls

Respuesta :

Answer:

[tex]\frac{18}{95}\approx0.1895[/tex]

Step-by-step explanation:

Because there's a [tex]\frac{9}{20}[/tex] chance of picking 1 girl, there will be a [tex]\frac{8}{19}[/tex] chance of picking another girl since there's one less girl.

Since the two events are independent, their probabilities are multiplied, so the probability of having 2 girls be selected to serve on the committee is [tex]\frac{9}{20}*\frac{8}{19}=\frac{72}{380}=\frac{18}{95}[/tex].