Probability and Counting Principles

P(odd and A)

• 1/4

• 1/2

• 2/5

• 1/8

If Alonzo orders a cheeseburger, he first must decide if he wants a single patty or a double. Then, he has to choose either cheddar cheese, Swiss cheese or pepper jack cheese. Finally, he has to pick mayonnaise or mustard. If he created a tree diagram for his choices, how many different variations would there be available?

• 7

• 12

• 19

• 24

How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?

• 12

• 7

• 223

• 64

Spencer has an eight-sided die that is marked from 1 to 8. if he rolls it twice, how many number combinations would be possible?

• 8

• 16

• 64

• 80

Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.

• 1

• 1_/2

• 1/₄

• 1/8

Which shows the sample space for flipping two coins?

• H, T

• HH, HT, TH, TT

• HH, TT

• Dime, Nickel

Use the tree chart to find the probability of randomly picking an outfit with a white shirt and jeans.

• There are 6 outfits

• 2/6, or 2 out of the 6 outfits have a white shirt with jeans

• 3/6, or 3 out of the 6 outfits have a white shirt with jeans

• 1/6, or 1 out of the 6 outfits has a white shirt with jeans.

Use the Fundamental Counting Principle to find out how many total outcomes you have:

You go to an entertainment center and get to pick how to spend the day with friends: (activity 1: go-karts, bowling, mini golf), (food: hot dogs, corn dogs, hamburgers, pizza), and (activity 2: laser tag, arcade, skating)

• 80

• 10

• 3

• 36

Use the Fundamental Counting Principle to find out how many total outcomes you have: You go to an ice cream shop and get to choose: (flavor: Chocolate, Vanilla, Strawberry, Swirl), (scoops: 1, 2, or 3), (toppings: Sprinkles, Gummi Bears, Nerds, Chocolate Chips), and (cone: Waffle or Sugar).

• 96

• 4

• 14

• 240

Use the Fundamental Counting Principle to find out how many total outcomes you have:

You are buying a car and have to make the following decisions: (brand: Toyota, Honda, Ford), (color: Red, Green, Blue, Black, Silver), (transmission: Manual or Automatic)

• 10

• 3

• 30

• 72