Probability Counting Principle

What is the probability of spinning green?

• 0

• 1/4

• 1/2

• 3/4

If there are 5 red balls, 3 blue balls, and 2 green balls in a bag, what is the probability of picking a blue ball at random?

• 1/5

• 3/10

• 4/10

• 2/10

Using the fundamental counting principle, how many different outcomes could you have if you rolled 4 different six-sided dice?

• 1,296, because 6 x 6 x 6 x 6 = 1,296

• 24, because 6 x 4 = 24

• 36, because it 6 x 6 = 36

• 360, because 6 x 5 x 4 x 3 = 360

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

A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange?

• 9/16

• 3/4

• 9/144

• 5/16

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  

• 6

• 12

• 24

• 36

For breakfast, you can choose to eat cereal or a bagel and to drink coffee, OJ, tea, or water. What is the sample space of this situation?

• 2, because there are 2 things to choose from to eat.

• 4, because there are 4 things to choose from to drink

• 10, because I see 10 different words on the tree diagram

• 8, because there are 8 different outcomes (cereal, coffee) (cereal, OJ) (cereal, tea) (cereal, water) (bagel, coffee) (bagel, OJ) (bagel, tea) (bagel, water)

Q1. How many legs does a spider have?

• 6

• 12

• 2

• 10

What is the sample space when you roll a die and then flip a coin?

• H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T

• 2

• 1,2,3,4,5,6,H,T

Jackie is picking out a new skateboard. The board can be dark brown or gray, and the wheels can be orange, green, pink, or yellow. The decal on the skateboard can be a tiger, a diamond, a bear, or an eagle. How many different combinations does Jackie have to choose from?

• 3 combinations

• 8 combinations 

• 16 combinations

• 32 combinations