Unit 3 Lesson 5 Assignment

Show the calculations that lead to your answer for each question.

1) Four boys and 5 girls will be chosen at random to attend a conference on “The uses of probability in the high school classroom.” There are 12 boys and 13 girls in the class from which the students will be chosen. In how many different ways can the students be chosen?

2) A committee is being formed from 31 interested faculty and 23 interested students at HAHS to study dress code issues. If the committee will have 5 members, find the probability that there will be at least 3 students on the committee.

3) In a game, each player receives 5 cards from a deck of 52 different cards. How many different groupings of cards are possible in this game?

4) A 3 person committee is being formed from 5 Republicans and 7 Democrats. What is the probability that the committee consists of 3 Republicans?

5) A 3 person committee is being formed from 5 Republicans and 7 Democrats. What is the probability that the committee consists of 3 Democrats?

6) A 3 person committee is being formed from 5 Republicans and 7 Democrats. What is the probability that the committee consists of 1 Republican and 2 Democrats?

7) How many different male-female committees can be formed from among nine males and ten females to investigate discrimination charges if each committee is to consist of 5 males and 6 females?

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