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# help

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There are 3 math teams in the area, with 5, 7, and 8 students respectively. Each team has two co-captains. If I randomly select a team, and then randomly select two members of that team to give a book, what is the probability that both of the people who receive books are co-captains?

Jan 8, 2020

#1
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Let team A have 5 members 2 of which are captains.

Let team B have 7 members 2 of which are captains.

Let team C have 8 members 2 of which are captains.

the probability of choosing team A then a captain from it then another captain from it is

$$\frac{1}{3}*\frac{2}{5}*\frac{1}{4}=\frac{1}{30}$$

Now do the same thing for team B and for Team C and then add all those probabilities together.

Jan 8, 2020
edited by Melody  Jan 8, 2020

#1
+108624
+2

Let team A have 5 members 2 of which are captains.

Let team B have 7 members 2 of which are captains.

Let team C have 8 members 2 of which are captains.

the probability of choosing team A then a captain from it then another captain from it is

$$\frac{1}{3}*\frac{2}{5}*\frac{1}{4}=\frac{1}{30}$$

Now do the same thing for team B and for Team C and then add all those probabilities together.