Probability with Permutations and Combinations

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.B.9

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

If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then what is the probability of randomly guessing the password?

• 1/60
• 1/45
• 1/200
• 1/175

Tags

CCSS.HSS.CP.B.9

What is the probability of choosing 2 female senators if there are 19 female senators out of 100?

• 342
• 1/342
• 171
• 1/171

Tags

CCSS.HSS.CP.B.9

CCSS.HSS.CP.B.8

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?

• 2/91

• 1/20

• 3/16

• 36/91

Tags

CCSS.HSS.CP.B.9

You are dealt 5 cards from a standard deck of playing cards. What is the probability you are dealt a flush?

**A flush is all 5 cards of the same suit (order does not matter).

• 1/1287

• 1/2598960

• 1287/2598960

• 5/52

Tags

CCSS.HSS.CP.B.9