Compound Events

Stevy has a red and a blue number cube each labeled 1 to 6. He will roll both number cubes at the same time. What is the probability Stevy will roll a 6 on the red cube and an even number on the blue cube?

• 1/36

• 1/18

• 1/12

• 1/8

Two spinners are equally divided into red, blue, yellow, and green. Chyrsti and Chrystyn each spin one spinner at the same time. What is the probability of both spinners landing on green?

• 1/2

• 1/4

• 1/8

• 1/16

Achilles rolls a number cube, with sides labeled 1 through 6, two times.What is the probability Achilles will roll an even number the first roll, and roll a number greater than 4 the second roll?

• 1/2

• 1/4

• 1/6

• 1/36

Three fourths of the girls in the eighth grade have long hair. One half of the girls are wearing dresses today. What is the probability that an eighth grade girl will have long hair and be wearing a dress?

• 1/4

• 3/8

• 1/2

• 3/4

Nathan spins the spinner below two times. What is the probability Nathan will spin red on the first spin and blue on the second spin?

• 9/64

• 9/25

• 3/8

• 1/4

Brianna is planning to randomly select colored cubes from a bag containing 60 cubes. The table below shows the number of colored cubes in the bag. What is the probability that the first cube she draws is red or yellow?

• 0.60

• 0.37

• 0.36

• 0.23

A group of friends is going to play soccer, baseball, or basketball in the morning and then tennis or baseball in the afternoon. What is the probability that the friends will play soccer?

• 2/3

• 1/2

• 1/3

• 1/6

Caps are available with a team name, mascot, or logo. They are either fitted or adjustable. The colors are either red or blue. All combinations are listed in the tree diagram. If a cap is chosen randomly, what is the probability of getting a red cap with the team logo?

• 1/12

• 1/6

• 1/3

• 1/2

The tree diagram below illustrates the possible outcomes of three tosses of a balanced coin. What is the probability that “heads” will come up exactly two out of three times?

• 1/8

• 1/4

• 3/8

• 1/2

The following table lists all the possible outcomes if a fair coin is flipped three times. What is the probability that the coin will land heads-up at least twice in the three flips?

• 1/8

• 1/4

• 3/8

• 1/2