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Tree Diagram and Fundamental Counting Principle

Total questions: 13

Worksheet time: 7mins

Name
Class
Date
1.

1.       It refers to a device consisting of line segments emanating from a starting point and from the outcome point. It is used to determine all possible outcomes of a probability experiment.

a)

a. Fundamental counting principle

b)

b. Tree diagram

c)

c. Event

d)

d. Sample space

2.

1.       It is a practical way to determine large number of occurrences of an outcome in an experiment.

a)

a. Fundamental counting principle

b)

b. Tree diagram

c)

c. Event

d)

d. Sample space

3.

1.       Olivia has 4 blouses, 3 skirts and 2 pairs of shoes. In how many ways she can wear these as an outfit?

a)

a. 16

b)

b. 20

c)

c. 24

d)

d. 28

4.

5.    Fred wants to make a sandwich, he has 2 kinds of bread (white and wheat), 3 kinds of meat (bacon, chicken and ham) and 2 kinds of condiments (mayonnaise and ketchup). How many combinations of sandwiches he can make?

a)

a. 9

b)

b. 10

c)

c. 11

d)

d. 12

5.
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
a)
32
b)
192
c)
40,320
d)
51,200
6.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
7.

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

a)
b)
c)
d)
8.

Which of the following situations is represented by this tree diagram?

a)

3 shirt options, 6 pants options, and 12 shoe options

b)

3 shirt options, 2 pants options, and 2 shoe options

c)

2 shirt options, 3 pants options, and 1 shoe option

9.

When rolling 1 die once, spinning a spinner once, and flipping a coin once, how many combinations are possible?

a)

13

b)

60

c)

32

d)

16

10.

Harpo, Groucho, Chico, Zeppo, Gummo and Karl are running in a race. How many different orders of finish are possible?

a)

36

b)

64

c)

720

d)

46656

11.
If you draw a random card from a standard deck of cards, how many possible outcomes?
a)
13
b)
26
c)
52
d)
54
12.

Yummy-Yum has prepared cupcakes with five different toppings: sprinkles, coconut, chocolate chip, oreo crumbles, and M&M’s. In how many ways can they arrange three of the cupcakes in a display case?

a)

60

b)

125

c)

15

d)

12

13.
Find the total number of outcomes for picking a day of the week and a month of the year.
a)
19
b)
84
c)
60
d)
210