Theoretical vs Experimental Probability

Experimental Probability is:

• What Will happen 

• What actually happens

• What should happen

• What I think Happens

The bar graph shows the results of spinning the spinner 200 times. What is the experimental probability of landing on a 3?

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The arrow is spun 15 times and landed 4 times on the section labeled Q. Which statement is true?

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Shannon has a bag of jelly beans. She removed one jelly bean, recording the color, and then replaced it. She repeated the process 44 times and record her results in the table. What is the experimental probability of her selecting a red jelly bean?

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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

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(b) False

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

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

• 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.

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

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

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

Jason rolls a die 14 times. What is the Experimental probability that he will roll a 2 ?

• 2/6

• 3/6

• 3/14

• 1/6

Jason rolls a die 14 times.. What is the Experimental probability that he will roll a 1 or 6?

• 2/6

• 6/12

• 6/14

• 7/14

Find the theoretical P(not yellow) if you spin the spinner.

• 1/8

• 7/8

• 1

• 7