Probability and Counting Principle

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

What is the probability of spinning an even number? 

• equally likely

• very likely 

• certain

• impossible 

The following M & M colors are in the bowl:
4 yellow, 7 orange, 3 green, 5 blue
What is the probability of selecting a brown candy?

• unlikely

• certain 

• equally likely

• impossible 

What is the probability of selecting a cherry piece of candy?

• 3 out of 10

• 3 out of 3

• 3 out of 9

• 4 out of 10

Sally’s ice cream parlor has 5 types of ice cream, 3 kinds of cones and 4 different toppings. How many different types of ice cream combination can you get?

• 12

• 60

• 32

• Infinite

Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. How many different outcomes of pizzas can Randall order?

A bag contains 3 white balls, 4 green balls. 2 balls are drawn from the bag without replacement.
Use a tree diagram to find the probability that the balls are white colors.

• 5/13

• 5/42

• 6/42

• 3/7