11.5 Probability w/Permutations & Combinations Review

There are 10 students in a class: 5 boys and 5 girls.

If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?

• 1/12

• 1/2

• 1

• 1/5

Tags

CCSS.HSS.CP.B.9

There are 7 students in a class: 5 boys and 2 girls.
If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?

• 5/7
• 1/7
• 2/7
• 1

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor.

What is the probability that the committee is made up of 3 women and 1 man?

• 10/91

• 1/20

• 3/16

• 36/91

Tags

CCSS.HSS.CP.B.9

On a volleyball team there are 14 team members. 8 are seniors, 4 are juniors and 2 are sophomores. The team selects 4 honorary co-captians by drawing names from a hat. What's the probability they pick 2 sophomores and 2 seniors?

• 0.5%

• 12%

• 51%

• 3%

Tags

CCSS.HSS.CP.B.9

There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor.

How many ways can the committee be made up of 3 women and 1 man?

• 200

• 180

• 560

• 1820

Tags

CCSS.HSS.CP.B.9

₁₅C₂

• 15
• 105
• 455
• 1365

Tags

CCSS.HSS.CP.B.9

₁₂P₄

• 24
• 132
• 1320
• 11880

Tags

CCSS.HSS.CP.B.9

Three adults and three teens line up at a checkout counter in a store.

Find the probability that the first person in line is a teen and the line alternates by teen, adult, etc.

Tags

CCSS.HSS.CP.B.9

A parent-teacher committee consisting of four people is to be selected from fifteen parents and five teachers. Find the probability of selecting two parents and two teachers.

Tags

CCSS.HSS.CP.B.9

If you are dealt 4 cards from a shuffled deck of 52 cards find the probability that all 4 are hearts.

Tags

CCSS.HSS.CP.B.9