Probability with Combinations

There are 10 students in a class: 5 boys and 5 girls. If the teacher picks a group of 3 at random: a) How many groups of 3 girls are possible?​ b) How many total groups of 3 are possible?​ c) what is the probability that everyone in the group is a girl?

• 10

• 120

• 8%

• 60

• 720

• 50%

There are 19 students in a class, the teacher is making groups of 3. What is the probability that Alex, Connor, and Meredith all end up in the same group?

• 969

A bag has 3 red marbles, 2 blue, 1 yellow and 4 green. What is the probability of pulling out 2 green at the same time?

• 4/10

• 2/5

• 1/9

• 2/15

The following M & M colors are in the bowl:

4 yellow, 6 orange, 3 green, 5 blue, 2 brown. YHou reach in and grab 3 at the same time.

Find P(3 orange)?

• 3/157

• 3/10

• 3/20

• 1/57

Permutation or Combination?

There are eight seniors on the football team that are being considered as team captains.

If there will be 3 team captains, how many different ways can 3 of these seniors be

chosen as captains?

• Permutation

• Combination

The following M & M colors are in the bowl:

4 yellow, 6 orange, 3 green, 5 blue, 2 brown

P(2 yellow, 2 blue)?

• 4/323

• 4/4845

• 2/10

• none of these

a bag of candy contains 4 peppermint, 6 butterscotch and 2 lemon. You reach into the bag and take 3 candies.

Find P(1 lemon, 3 butterscotch) ?

• 45/495

• 8/99

• 2/495

• 10/99

a box of markers contains 2 yellow , 4 red, 6 blue, and 3 green. You reach in and grab some at the same time.

P(2 yellow)?

• 2/105

• 1/105

• 2/15

• 1/30

a box of markers contains 2 yellow , 4 red, 6 blue, and 3 green. You reach in and grab some at the same time.

P(3 green)?

• 3/155

• 1/5

• 1/455

• 3/455

A box of markers contains 3 red, 4 green, and 5 blue markers. Find hte probability of picking out 2 green at the same time.

• none of these