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There are 7 students in a class: 5 boys and 2 girls.
If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a boy?

 Apr 19, 2020
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Hi guest!

 

Since we know that there are 7 students in the class and we need to choose 3, the total number of possibilities is \({7 \choose 3} = 35\).

 

But, we want to know the probability that everyone in the group is a boy.

So, there are 5 boys and since there are 35 possibilities, the answer is \(\frac{5}{35}=\boxed{\frac{1}{7}}\)

 

I'm not sure if this is correct, so please let me know if it's right!

I hoped this help you, guest!

:)

 Apr 19, 2020

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