Compound Probability Models

Holden is ordering a welcome sign for his business. He randomly chooses between matte- or gloss-finish paper. Then he randomly chooses a light, medium, or heavy paper weight. Finally, he randomly chooses blue, green, yellow, or white paper. The tree diagram displays Holden's possible options. Determine the true statements.

• The probability that Holden chooses a matte-finish paper is 1/2.

• The probability that Holden chooses a gloss-finish medium-weight green paper is 1/12.

• The probability that Holden chooses a lightweight paper is greater than the probability that he chooses blue paper.

• The probability that Holden chooses a matte-finish heavy-weight paper is 1/3.

How do the probabilities associated with the two spinners compare?

• The probability of landing on 1 on Spinner A is 3/10.

• The probability of landing on 2 on Spinner B is 2/3.

• The probability of landing on 3 on Spinner A is equal to landing on 3 on Spinner B.

• The probability of landing on 2 on Spinner B is 2/5.

Matilda is spinning a spinner with eight equal-sized sections numbered 1 through 8. She spins the spinner two times. What is the probability that Matilda's first spin will be an odd number and her second spin will be a number less than 3?

• 1/8

• 3/16

• 1/64

• 3/4

Alejandro is spinning a spinner with six equal-sized sections numbered 1 through 6. He spins the spinner two times. What is the probability that Alejandro will not land on the numbers 2 or 4 on either spin?

• 1/18

• 5/9

• 4/9

• 2/3

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

What is the probability of drawing a blue color and a number 4?

• 2/5

• 1/6

• 3/15

• 1/15

The likelihood of two or more related events occurring is called - 

• compound probability

• theoretical probability

• simple probability

• experimental probability

Which of the following expressions can be used to calculate the probability of two related events occurring?

• P(event) x 2

• P(event 1) +   P(event 2)

• P(event 1) x     P(event 2)

• P(event 1 + 2)

In compound probability, if one event does not affect the other event or events, it is referred to as - 

• theoretical probability

• independent probability

• experimental probability

• dependent probability