Compound Probability Without Replacement

You are at the movies with your friends and decided to buy a small bag of gummy bears. There are 4 red bears, 5 green bears, and 3 yellow bears in the bag. What is the probability that you will get yellow gummy bears and then red gummy bears?

• The probability is 3/11

• The probability is 1/11

• The probability is 3/132

• The probability is 3/12

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?

• 2/5

• 1/21

• 4/25

• 1/7

A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?

• 9/182

• 5/182

• 2/91

• 10/91

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a yellow candy, not replacing it, then selecting a green candy?

• 1/5

• 3/19

• 3/95

• 12/380

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a yellow candy, not replacing it, then selecting a green candy?

• 1/5

• 3/19

• 3/95

• 12/380

What is the probability of picking a green marble, keeping it, then picking another green marble? (leave answer in fraction form in lowest terms)

• 9/49

• 1/7

• 3/14

• 6/42

A cookie jar has 3 DOZEN chocolate chip, 1 DOZEN peanut butter, and 2 DOZEN oatmeal cookies. If Megan chooses a cookie, does not replace it, then chooses another, what is the probability that she chooses a peanut butter then a chocolate chip cookie? (leave answer in fraction form in lowest terms) (also, sorry for making you hungry!)

• 2/3

• 1/10

• 11/72

• 6/71

Ms. Howard a bag with 3 red marbles, 2 blue, 4 green, and 1 yellow. What is the probability that she will randomly pull out a green marble, without replacement, and then pull out a yellow marble?

• 4/9

• 1/18

• 2/45

• 1/25

What is the probability when Sue will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Sue will select a treat, not replace it, and then select a second treat. Find P(gumball then lollipop)

• 1/24

• 4/15

• 1/100

• 2/10

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy, not replacing it then selecting a blue candy?

• 1/40

• 7/20

• 6/19

• 1/38