Theoretical vs Experimental Probability

Front

What is probability?

Back

Probability is the chance or the likelihood of an event happening, represented as a number between zero and one.

Front

What is theoretical probability?

Back

Theoretical probability is the probability of an event occurring based on all possible outcomes, assuming ideal conditions.

Front

What is experimental probability?

Back

Experimental probability is the probability of an event occurring based on the results of an actual experiment or trial.

Front

How is theoretical probability calculated?

Back

Theoretical probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

How is experimental probability calculated?

Back

Experimental probability is calculated as the number of times an event occurs divided by the total number of trials conducted.

Front

What is the relationship between theoretical and experimental probability?

Back

Theoretical probability is what should happen, while experimental probability is what actually happens in practice.

Front

What happens to experimental probability as the number of trials increases?

Back

As more trials are completed, the experimental probability generally draws closer to the theoretical probability.

Front

If a die is rolled 12 times and a 4 is rolled 2 times, what is the experimental probability of rolling a 4?

Back

The experimental probability of rolling a 4 is 2/12 or 1/6.

Front

What is the range of probability values?

Back

Probability values range from 0 (impossible event) to 1 (certain event).

Front

What does a probability of 0.5 indicate?

Back

A probability of 0.5 indicates that an event is equally likely to occur or not occur.