Sample Space Warmup 2

During lunch, you have a choice of 1 burger, 1 side and 1 drink. Which multiplication sentence shows the total number of possible combinations?

• 4 x 2

• 4 + 2 + 4

• 4 + 2

• 4 x 2 x 4

Answer explanation

The correct choice is 4 x 2 x 4 because you multiply the number of options for each category (burger, side, drink) to find the total combinations.

What is the sample space for this spinner?

• 1

• 8

• 1, 2, 3, 4, 5, 6, 7, 8

• 50/50

Answer explanation

The sample space for the spinner includes the numbers 1, 2, 3, 4, 5, 6, 7, and 8, so the correct choice is 1, 2, 3, 4, 5, 6, 7, 8.

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

• 7 because 2 + 3 + 2

• 12 because 2 x 3 x 2

Answer explanation

The correct answer is 12 because there are 2 choices of salads, 3 choices of entrees, and 2 choices of beverages, resulting in 2 x 3 x 2 = 12 possible meal combinations.

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

• 15

• 40

• 80

• 10

Answer explanation

To find the total number of outfits, multiply the number of options for each item: 5 jeans * 8 t-shirts * 2 shoes = 80 possible outfits.

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180

• 23

• 12

• 60

Answer explanation

To find the total number of versions, multiply the options: 4 trim levels * 5 colors * 3 interiors = 60. Therefore, 60 different versions can be created.

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

Answer explanation

The correct choice is 3 shirt options, 2 pants options, and 2 shoe options, as indicated by the tree diagram provided.

Tags

CCSS.7.SP.C.8B