Comparing Experimental and Theoretical Probability

Describe what EXPERIMENTAL PROBABILITY is.

• What DID happen during the experiment

• What SHOULD happen in an experiment

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Describe what THEORETICAL PROBABILITY is.

• What DID happen in an experiment

• What SHOULD happen in an experiment

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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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Determine the type of probability:

The probability of flipping tails is 1/2, or 50%, since the sides of a coin have 1 tails and 1 heads.

• Theoretical Probability

• Experimental Probability

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A standard 6-sided die is tossed 90 times. The results are recorded in the table. What number had an experimental probability that matched its theoretical probability?

• 1

• 2

• 3

• 4

• 5

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Determine the type of probability:

A spinner has 4 equal-sized spaces labeled A, B, C, and D.

The chance of landing in any of the spaces is 1/4, or 25%.

• Theoretical Probability

• Experimental Probability

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3) The spinner has 4 sections of equal size labeled T, V, W, and X. The arrow of this spinner was spun 10 times and landed 6 times on the section labeled T.

Which statement best describes the experimental probability and theoretical probability of the arrow landing on the section labeled T?

• The experimental probability is 1/4, and the theoretical probability is 3/5.

• The experimental probability is 3/5, and the theoretical probability is 1/4.

• The experimental probability is 3/5, and the theoretical probability is 3/5.

• The experimental probability is 1/4, and the theoretical probability is 1/4.

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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

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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%

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