There are 10 students in a class: 3 boys and 7 girls. If the teacher picks a group of 3 at random, what is the probability that
everyone in the group is a girl?
2 answers:
Probability the first pick is a girl: 7/10
Probability the second pick is a girl: 6/9
Probability the third pick is a girl: 5/8
Probability of picking 3 girls:
7/10 * 6/9 * 5/8 =
= (7 * 6 * 5)/(10 * 9 * 8)
= (7 * 1 * 1)/(2 * 3 * 4)
=7/24
Approximately 0.29 = 29%
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