WorksheetsExperimental Probability and Theoretical Probability
Total questions: 20
Worksheet time: 20mins
Isidro flips a fair coin 40 times. How many times can he expect heads to appear?
4
10
15
20
Find the theoretical probability of NOT landing on yellow if you spin the spinner.
1/8
7/8
1
7
What is the theoretical probability of picking a vowel from the letters A, B, C, D, and E?
2/5
2/3
1/5
25%
Find the experimental probability:
Roll dice: 1, 3, 3, 4, 4
P(1) =
3/5
1/6
2/5
1/5
Several students conducted a simulation where a standard coin was tossed several times and the results were recorded in the table. Which table shows an experimental probability of landing on tails that is closest to the theoretical probability of landing on tails?
A
B
C
D
When conducting an experiment, the MORE you attempt the experiment the (a) your experimental probability and theoretical probability become.
closer
further
During a festival game, children attempt to wind a prize by drawing a token from a bag. The tokens are labeled Large Prize, Small Prize, or No Prize. After a token is drawn, it is returned to the bag. The table on the left shows the three types of tokens and the number of each token in the bag.
Lia observes the game and keeps track of 20 consecutive draws from the bag. She records her results in the table shown on the right.
Which statements about the game are true? Drag each statement to the True or False category.
The theoretical probability of winning a large prize is 0.125.
The theoretical probability of winning a small prize is 0.10.
From Lia's observed frequencies, the probability of getting no prize is 0.65.
From Lia's observed frequencies, the probability of winning a large or small prize is 0.7.
Based on the theoretical probability, it is more likely to win a small prize than a large prize.
The observed probability model matches the theoretical probability model.
Find the experimental probability:
Roll dice: 1, 3, 3, 4, 4
P(3) =
3/5
1/6
2/5
1/3
Experimental Probability is:
What Will happen
What actually happens
What should happen
What I think Happens
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
5/11
5/6
1/3
5
If the spinner is spun 80 times, how many times would it land on yellow? (hint:set up a proportion)
10
20
30
40
What is the probability of spinning a blue or red?
unlikely
equally likely
likely
certain
Which of the following describes theoretical probability?
a. Perform an experiment to determine the probability
a. Determining the expected probability of an event
a. Perform a simulation and count the number of possible outcomes
a. Use trials to count the number of desired outcomes
What is the difference between theoretical and experimental probability?
Experimental Probability is what should happen while Theoretical Probability is what does happen.
Theoretical Probability is what should happen while Experimental Probability is what does happen.
There is no difference.
One is a fraction and one is a decimal.
What is the theoretical probability that an even number will be rolled on a number cube?
1/3
1/2
2/3
1/6
What was the experimental probability of how many times an even number was actually rolled using the table?
2/3
5/7
5/12
1/2
If you roll a number cube 36 times, how many times would you expect to roll the number one?
1
6
8
18
How many times was the number one rolled in the experiment?
1
6
8
18
What is the theoretical probability for rolling a number greater than 4?
1/6
1/3
1/2
2/3
What was the experimental probability of rolling a number greater than 4?
1/9
1/6
4/9
5/18
