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16 votes
16 votes
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

User Uta
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1 Answer

9 votes
9 votes

Answer:


(18)/(95)\approx0.1895

Explanation:

Because there's a
(9)/(20) chance of picking 1 girl, there will be a
(8)/(19) 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
(9)/(20)*(8)/(19)=(72)/(380)=(18)/(95).

User Manojlds
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