Question

There are 18 students in this class….5 girls, 13 boys. 1. What is the probability that...

There are 18 students in this class….5 girls, 13 boys.

1. What is the probability that a group of 5 boys will be chosen?

2. What is the probability that at least 2 girl will be chosen for a group of 3?

3. What is the probability that 7 or less boys will be chosen for a group of 10?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

1) Probability that in a group of 5, all boys are selected is computed as:

= Number of ways to choose 5 boys from 13 boys / Number of ways to choose 5 people from 18 total people

Therefore 0.1502 is the required probability here.

2) Probability that at least 2 girls will be chosen for a group of 3

= Probability that 2 girls are selected + Probability that 3 girls are selected

Therefore 0.1716 is the required probability here.

3) Probability that 7 or less boys are chosen for a group of 10

= 1 - Probability that 8, 9 or 10 boys are chosen

Therefore 0.3170 is the required probability here.

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