8.2.1 Multi-Step Events & Counting Principle

Multiple Choice

You have an 4-sided number cube. What is the probability of rolling a 1 and then a 2? (not using the word or!)

• 6.25%

• 50%

• 12.5%

• 25%

Multiple Select

A bowl of 15 pieces of fruit that include 3 oranges, 10 bananas, and 2 apples. Emily found the probability of first randomly selecting an orange to be 3/15 = 1/5. Emily set the orange to the side.

What is the probability of the second selection of an apple?

Select all that apply.

• 2/15

• 2/14

• 1/15

• 1/7

Multiple Choice

There are 17 players on a soccer team. What is the probability that Aria will be selected as captain and Liam will be selected as the co-captain?

• 1/17

• 2/17

• 1/33

• 1/272

Match

Match the estimated probability with each category stated using the image

• P(unshaded shape)

• P(circle)

• P(square)

38%

46%

54%

• 38%

• 46%

• 54%

Multiple Choice

Consider the three types of scenarios below using the shaded and unshaded letter tiles shown. Which scenario is more likely to occur?

• The probability of randomly selecting the letter A, setting it to the side, THEN selecting the letter B

• The probability of randomly selecting a tile that is shaded AND the letter C

• The probability of randomly selecting a tile that is unshaded OR shaded

Multiple Choice

There are 100 marbles in a bag where 18 are red, 32 are white, 24 are black, and 26 are green. What is the probability that you draw a red marble, set it to the side, and then randomly select a white marble?

• 50/100

• 2/1000

• 172/839

• 288/4950

Match

Use the bag of numbered, shaded, and unshaded balls shown to match the probability of each. Match each scenario with the corresponding estimated probability.

• P(shaded ball and 2)

• P(unshaded ball and 3)

• P(unshaded ball or shaded ball)

• P(unshaded ball or 2)

25%

8%

100%

83%

• 25%

• 8%

• 100%

• 83%

Let's Take A Break

Multiple Choice

There are 3 types of lemonade and 8 fruit flavors. How many different combinations of lemonade could you make?

• 11

• 24

• 32

• 20

Fill in the Blanks

Multiple Choice

What is the probability that a pizza shop customer will order mozzarella and ham with any type of crust or any type of vegetable?

You can use a calculator if needed. Round your answer to the nearest percent.

• 12%

• 50%

• 1/12%

• 8%

Multiple Choice

You are planning to build a custom sandwich at a deli. You have the following choices:

•Bread: white, whole wheat, rye

•Meat: turkey, ham, roast beef

•Cheese: swiss, cheddar, provolone

•

What percentage of the possible sandwich combinations have white bread, any choice of meat, and either Swiss or provolone cheese?

Round your answer to the nearest whole percent.

• 27%

• 22%

• 6%

• 33%

Multiple Choice

A sandwich shop has 4 different types of meat, 10 different vegetables, and 3 different types of bread.

How many different ways can you order a sandwich with one meat, one vegetable, and one type of bread?

• 240

• 40

• 120
• 17

What Now...