Theoretical Probability of Compound Events

If you flip three coins, use a list 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

Tags

CCSS.7.SP.C.8B

Drake rolls 2 fair number cubes. What is the probability that the PRODUCT of the two numbers Drake rolls is a multiple of four? 

• Sample space: 20
  Multiples of 4: 15
  P(multiple of 4) = 5/12
• Sample space = 36
  Multiples of 4: 15
  P(multiple of 4) = 5/12
• Sample space: 15
  Multiples of 4: 15
  P(multiple of 4) = 15/36
• Sample space: 4
  Multiples of 4: 15
  P(multiple of 4) = 15/36

A deli prepares sandwiches with one type of bread (white or wheat), one type of meat (ham or turkey), and one type of cheese (cheddar or swiss). Each combination is equally likely. Find the probability of choosing a sandwich at random and getting ham and swiss on white bread. 

• Sample Space: 8
  Ham, Swiss, White: 1
  P(Ham, Swiss, White) = 1/8
• Sample Space: 6
  Ham, Swiss, White: 2
  P(Ham, Swiss, White) = 1/3 
• Sample Space: 4
  Ham, Swiss, White: 2
  P(Ham, Swiss, White) = 1/2 
• Sample Space: 12
  Ham, Swiss, White: 1
  P(Ham, Swiss, White) = 1/12

Tags

CCSS.7.SP.C.8B

Which of the following situations is represented by this tree diagram?

• 3 shirt options, 6 pants options, and 12 shoe options
• 3 shirt options, 2 pants options, and 2 shoe options
• 2 shirt options, 3 pants options, and 1 shoe option

Tags

CCSS.7.SP.C.8B

How many total outfit options are represented?

• 12
• 22
• 3

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

Tags

CCSS.2.OA.C.3

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

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

You flip a nickel three times.
Find the probability that all flips will land on tails.

• 1/2
• 1/4
• 1/6
• 1/8

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

• 1/2
• 1/8
• 1/3
• 1/12

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.2