Theoretical and Experimental Probability

Front

What is Theoretical Probability?

Back

Theoretical Probability is the likelihood of an event happening based on all possible outcomes, calculated using the formula: P(Event) = Number of favorable outcomes / Total number of possible outcomes.

Front

What is Experimental Probability?

Back

Experimental Probability is the likelihood of an event happening based on the results of an experiment, calculated using the formula: P(Event) = Number of times the event occurs / Total number of trials.

Front

If a number cube is rolled 50 times, how many times can we expect to roll a 3?

Back

Theoretical Probability of rolling a 3 is 1/6. Therefore, in 50 rolls, we expect to roll a 3 about 50 * (1/6) = 8.33 times.

Front

What is the formula for calculating Experimental Probability?

Back

P(Event) = Number of times the event occurs / Total number of trials.

Front

If a coin is tossed 18 times and lands on heads 12 times, what is the experimental probability of landing on tails?

Back

The experimental probability of tails is 6/18, which reduces to 1/3.

Front

What is the total number of outcomes when rolling a number cube?

Back

There are 6 possible outcomes when rolling a number cube: 1, 2, 3, 4, 5, or 6.

Front

What is the experimental probability of landing on a 3 if a spinner is spun 200 times and lands on 3, say, 50 times?

Back

The experimental probability of landing on a 3 is 50/200, which reduces to 1/4.

Front

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

Back

Theoretical Probability of rolling an even number (2, 4, 6) is 3/6, which reduces to 1/2.

Front

If a spinner has 5 equal sections numbered 1 to 5, what is the theoretical probability of landing on a 5?

Back

Theoretical Probability of landing on a 5 is 1/5.

Front

What is the difference between theoretical and experimental probability?

Back

Theoretical probability is based on expected outcomes, while experimental probability is based on actual results from trials.