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?
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!
:)