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If the teacher picks a group of at random, what is the probability that everyone in the group is a girl ?

 Mar 9, 2021
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There are 10 students in a class: 6 boys and 4 girls.  If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl ?     

 

Probability first pick is a girl                    4 / 10     

Probability second pick is a girl              3 / 9     

Probability third pick is a girl                   2 / 8     

 

Probability all three happening                4/10 • 3/9 • 2/8  =  24 / 720  =  1 / 30     

.     

 Jul 11, 2025

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