Experimental & Theoretical Probability

Front

What is the difference between experimental probability and theoretical probability?

Back

Experimental probability is based on actual experiments and observations, while theoretical probability is based on the expected outcomes in a perfect scenario.

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How do you calculate experimental probability?

Back

Experimental probability is calculated by dividing the number of successful outcomes by the total number of trials.

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What is the formula for calculating theoretical probability?

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Theoretical probability is calculated using the formula: P(E) = Number of favorable outcomes / Total number of possible outcomes.

Front

If a number cube (die) is rolled, what is the theoretical probability of rolling a number greater than 4?

Back

The theoretical probability of rolling a number greater than 4 (5 or 6) is 2/6 or 1/3.

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In a car factory, if 12 out of 320 cars checked have defects, how do you estimate the number of defective cars in a larger batch?

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You can use the ratio of defective cars to total cars checked to estimate: (12/320) * 560 = 21 defective cars.

Front

What is the expected number of times to roll a specific number (e.g., 1) on a number cube if rolled 36 times?

Back

The expected number is calculated as (1/6) * 36 = 6 times.

Front

What is the experimental probability of rolling an even number if it was rolled 5 times out of 12 total rolls?

Back

The experimental probability is 5/12.

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What is the theoretical probability of rolling an even number on a number cube?

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The theoretical probability of rolling an even number (2, 4, or 6) is 3/6 or 1/2.

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How can you use experimental probability to predict future outcomes?

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You can use the ratio of successful outcomes to total trials to estimate the likelihood of future events.

Front

What is a number cube?

Back

A number cube is a six-sided die, with each side showing a different number from 1 to 6.