Theoretical and Experimental Probability

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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

What is the theoretical probability of randomly picking a Purple marble from Molly's Sack of Marbles?

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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

,

(b) False

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

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

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

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

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

• The observed probability model matches the theoretical probability model.

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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?

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When conducting an experiment, the MORE you attempt the experiment the​ (a)   your experimental probability and theoretical probability become.

• closer

• further

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Neil tossed a 6-sided die 90 times. The results of his tosses are recorded in the table below: Which number has the experimental probability of 13/90?

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