Name: __________________________________________________ Date: ____________ Block: ______
Theoretical and Experimental Probability Homework
The gumball machine at a video arcade contains an equal number of orange, red, and
green gumballs.
1. What is the theoretical probability that the next customer who buys a gumball will get
a green gumball?
2. Alli bought 20 gumballs from the machine. She had four green gumballs, six red
gumballs, and ten orange gumballs.
a. Based on Alli’s data, what is the probability that the next customer will get a
green gumball?
b. What kind of probability is this? How do you know?
A survey was conducted to find out how students get to school. The results of the survey are
shown in the table below. Use the data to answer the following questions:
Bus
Car
Bike Walk
85
65
25
45
3. What is the probability a student walks to school?
4. What is the probability the student rides to school in a car or in a bus?
5. What is the probability a student does not bike to school?
6. Are your results to the questions above based on experimental or theoretical
probability? How do you know?
Find the probability. Write your answer as a fraction in simplest form. Then find the matching
percentage from the list below and write it next to each problem.
62.5%
25%
100%
58.3%
11.1%
0%
25%
59.09%
87.5%
44.4%
50%
72.72%
83.3%
66.6%
7. A jar contains 6 pink, 10 white, and 8 red marbles. A marble is drawn at random.
What is the probability of drawing a…
a. Pink?
b. NOT white?
8. A number from (16, 17, 18, 19, 20, 21, 22, 23, 24) is drawn at random. What is the
probability of getting a number…
a. 22?
b. That is odd?
c. Greater than 18?
9. You roll a number cube numbered from 1 to 6. What is the probability of rolling…
a. An Even?
b. a 1, 3, 4, 5, or 6?
10. A jar contains 6 green, 26 red and 12 blue marbles. A marble is drawn at random.
What is the probability of getting a…
a. red?
b, not blue?
c. green, red, or blue?
11. You spin this spinner. What is the probability of spinning…
a. Red?
b. Not yellow?
c. Blue OR green
d. yellow?