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

Respuesta :

rorycampbell0721

Answer:

2/7

Step-by-step explanation:

The total number of possibilities is 7 * 6 * 5

The number of possibilities for all girls is 5 * 4 * 3

so the probability is:

[tex]\frac{5*4*3}{7*6*5} \\\frac{4*3}{7*6} \\\frac{12}{42} = \frac{2}{7}[/tex]

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