Theoretical Compound Probability

The spinner is spun two times. Determine the probability of landing on red the first spin and on green the second spin .

• 1/9

• 1/10

• 0

• 1/12

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 roll two die.

What is the probability you will roll a 4, then roll a number less than 3?

• 1/36

• 1/18

• 1/9

• 1/6

• 1/4
• 1/8
• 1/2
• 1/6

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

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

What is the probability of rolling a number greater than 4 and spinning blue?

• 1/24

• 1/12

• 1/6

• 1/4

What is the probability of choosing a sweater, khakis, and sandals?

I can use lists or tree diagrams to determine the probability of compound events. If you were to flip a quarter three times, what is the probability you would flip two heads and one tails? (hint: make a list or tree diagram of possible outcomes first!)

If you flip three coins, use a tree diagram to show how many outcomes are in the sample space. Then find the probability of getting heads, tails, heads.

• HHH HHT HTH HTT THH THT TTH TTT

  P(heads, tails, heads) = 1/8

• HHH HHT HTH HTT THH THT TTH TTT

  P(heads, tails, heads) = 2/8

• HHH HHT HTH HTT THH THT TTH TTT

  P(heads, tails, heads) = 1/4

• HHH HHT HTH HTT THH THT TTH TTT

  P(heads, heads, heads) = 1/8