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Our class consists of 15 boys and 13 girls. We want to form a committee of 5 people. a) What is the probability that the

  1. Our class consists of 15 boys and 13 girls. We want to form a committee of 5 people.

a) What is the probability that the committee consist of at least one boy?

b) What is the probability that the committee will have Jill and Hannah on it?

c) What is the probability that Lauren must be on the committee or it must be an all-girls committee?

  1. 3 teachers, Mr. A, Mr. B, and Mr. C, and 2 students order a pie after school. Unfortunately, the pie only has 3 pieces. They draw straws to determine who will get a piece. Find the probability of:

a) Mr. A, Mr. B, and Mr. C getting pie.

b) Only one teacher getting pie.

  1. A group of balls numbered from 1-100 are placed in a barrel and mixed. One is drawn at random. Determine the probability that it is an even number, or a perfect square, or a number divisible by 5.

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