Probability with permutations and combinations

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation
• Combination

Picking a President, Vice-President, and Secretary from a group of 12.

• Permutation
• Combination

There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?

• 220
• 36
• 1320
• 100

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

• 324
• 4896
• 816
• 54

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

A restaurant served 32 patrons. Fourteen people ordered prime rib for dinner. Twelve people did not order dessert after dinner. Two people had the prime rib, but did not order dessert. What is the probability that someone who did not have prime rib did have dessert?

• 4/9

• 2/5

• 1/4

• 5/16

Tags

CCSS.HSS.CP.B.6

Of the 16 students in a high school agriculture class, 12 own a cell phone, and 8 can drive. All the students that can drive own a cell phone. What is the probability that a student does not own a cell phone and cannot drive?

• 1/4

• 1/2

• 1

• 1/8

What is the probability of drawing an odd number, then drawing a 6? (no replacement--dependent event)

• 3/8

• 3/7

• 9/56

• 5/37

What is the probability of drawing a 2, then drawing another 2? (no replacement--dependent event)

• 2/8 = 1/4

• 2/56 = 1/28

• 1/7

• 3/7