math

posted by .

Five boys and seven girls in a history class will go on a field trip during the Easter vacation. They make a committee of three members to prepare for the trip. What is the probability that this committee will consist of three boys? What is the probability that the committee will have two boys and one girl?

• math -

number of committes without restriction
= C(12,3) =220

number of committess with three boys
= C(5,3) = 10
prob( 3boys) = 10/220 = 1/22

number of committees with 2 boys, 1 girs
= C(5,2) x C(7,1)
= 70

prob (2boys, 1 girl ) = 70/220 = 7/22

Similar Questions

1. MATH

the class president plans to randomly select a committee of three people from three boys and five girls. How many committees are possible?
2. Math 117

A class has 10 boys and 12 girls. In how many ways can a committee of four be selected if the committee can have at most two girls?
3. layla

Mrs. Baker has to choose 2 students to lead the class field trip. If she draws from a list of 6 boys and 6 girls, what is the probability that 2 girls will be drawn?
4. MATH

A committee of 5 people is to be selected from student council. Council has 6 boys and 7 girls. What is the probability that the committee will have at least 3 boys?
5. MATH HELP

A committee of 5 people is to be selected from student council. Council has 6 boys and 7 girls. What is the probability that the committee will have at least 3 boys?
6. MATH

A STUDENT COUNCIL COMMITTEE IS MADE UP OF 4 BOYS AND 5 GIRLS.IF 2 COMMITTEE MEMBERS ARE CHOSEN AT RANDOM TO ATTEND A CONFERENCE,WHAT IS THE PROBABILITY THAT BOTH MEMBERS WILL BE BOYS?
7. Math

Mr. Rad's class was invited to go on a field trip after school hours. Fourteen of the students in his class went on the field trip, and 6 of them were boys. The expression below can be used to find g, the number of girls in Mr. Rad's …
8. math

On a class trip there wre 30 more girls than boys.The total number of students on the trip was 210.Write and solve an equation to find the number of girls and the number of boys on the class trip.
9. Math

The ratio of adults to girls to boys on a class field trip was 1:4:5. If the trip included 6 more boys than girls, how many adults were with the group?
10. math

there are 15 boys and 10 girls in your class. a faur member committee is to befromedfrom the student of your class. in how many ways this can be done if the comittee consists at least three girls

More Similar Questions