A volleyball team had 6 boys and 5 girls on it. The team needed 2 equipment managers. The coach selected 1 player at random to be an equipment manager and then selected 1 of the remaining players at random to be the other equipment manager.

What is the probability that both equipment managers were girls?

Question

Mathematics

Jadon Combs

30 May, 14:15

A volleyball team had 6 boys and 5 girls on it. The team needed 2 equipment managers. The coach selected 1 player at random to be an equipment manager and then selected 1 of the remaining players at random to be the other equipment manager.

What is the probability that both equipment managers were girls?

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Answers (1)

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Sage Kane · Answer 1

The probability that the first is a girl is 5/11 because there are five girls and eleven total players.

Choosing from the remainder, the probability that the second is a girl is 4/10 because there are four girls and ten total players.

To find the probability that both are girls, we multiply these two probabilities together.

P = (5/11) * (4/10) = 20 / 110 = 2/11