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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

Best Answer 

 #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.

 

This is a teaching answer - please let guest asker finish it for him/herself.

 Jan 8, 2020
edited by Melody  Jan 8, 2020
 #1
avatar+106930 
+2
Best Answer

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.

 

This is a teaching answer - please let guest asker finish it for him/herself.

Melody Jan 8, 2020
edited by Melody  Jan 8, 2020

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