Finding Experimental and Theoretical Probability

When we are reading a word problem what are some key words we should look for when identifying if I'm solving for theoretical or experimental probability?

Check all the options that describe Experimental Probability

• Experiment

• What happens when you actually do it

• You will be given data

Raymond has different fruit cups in his refrigerator. 4 cups of peach fruit, 4 cups of pineapple fruit, 2 cups of pear fruit, and 2 cups of mandarin fruit. Raymond will randomly choose 1 fruit cup. What is the probability that he will choose a pear or pineapple fruit cup?

• Theoretical

• Experimental

What is experimental probability?

• What is expected to happen

• What actually happens when you try it

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.

Groups:

(a) True

,

(b) False

• The theoretical probability of winning a large prize is 0.125.

• The theoretical probability of winning a small prize is 0.10.

• The observed probability model matches the theoretical probability model.

• From Lia's observed frequencies, the probability of winning a large or small prize is 0.7.

• From Lia's observed frequencies, the probability of getting no prize is 0.65.

• Based on the theoretical probability, it is more likely to win a small prize than a large prize.

If the spinner is spun 80 times, how many times would it land on yellow? (hint:set up a proportion)

• 10

• 20

• 30

• 40

Aleena conducted a survey about the number of pets students in his classroom have. The table shows her results?

Based on these results, what is the experimental probability that the next student will own 2 or 3 pets?

• Survey

• Table

• OR

• Experimental

Choose the statement that is true about the experimental and theoretical probability of rolling a number cube 20 times.

• The experimental probability of rolling 3 is 16.6% and the theoretical probability is 15%

• The experimental probability of rolling 3 is 15% and the theoretical probability is 16.6%

• The experimental probability of rolling 1 is greater than the theoretical probability

• The experimental probability of rolling 6 is 16.6% and the theoretical probability of rolling 6 is 25%

If the spinner was spun 50 times and landed on 11 fifteen times, which statement is true?

• The experimental probability of landing on 11 is 1/8 while the theoretical probability of landing on 11 is 3/10

• The theoretical probability of landing on 11 is 12.5% while the experimental probability of landing on 11 is 30%

• The experimental probability of landing on 11 is less than the theoretical probability of landing on 11

• The theoretical probability of landing on 11 is equal to the experimental probability of landing on 11

Shannon has a bag of jelly beans. She removed on jelly bean, recording the color, and then replaced it. She repeated the process several times and record her results in the table. What is the experimental probability of her selecting a red jelly bean?

• 11/33

• 1/3

• 11/44

• 18/26