Compound Probability

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

• 1/12

• 1/4

• 1/8

• 1/2

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

Gregg has 12 cards. Half are black, and half are red. He picks two cards out of the deck without replacement. What is the probability that both cards are red?

• 1/6

• 5/22

• 1/2

• 1/144

What is the probability of rolling a 3 and spinning a red?

• 1/6

• 1/4

• 1/10

• 1/24

The sample space tree diagram for a team of three students is shown.  What is the probability that the team would consist of at least 2 girls?

• ½

• ⅜

• ¾

• ⅙

A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability of selecting a dark chocolate and then a caramel?

• 12/35 x 12/34

• 16/35 x 12/34

• 16/35 x 12/35

• 12/35 x 16/34

P(2 then 5) = 

• 1/6

• 1/12

• 1/36

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 

• 2/3

• 5/36

• 1/9

• 1/36

Sam is fishing in a new catch and release pond that was just stocked with 3 bluegill, 4 catfish, 7 bass, and 2 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp?

• 1/40

• 1/8

• 3/124

• 5/16

Cesar's piggy bank has 8 quarters, 2 dimes, 4 nickels, and 6 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel? 

• 1/50

• 2/95

• 1/10

• 4/19