Q:

# What is experimental probability?

A:

Experimental probability is the probability that an event occurred in the duration of an experiment. It is calculated by dividing the number of event occurrences by the number of times the trial was conducted.

## Keep Learning

For example, if a coin is flipped 1,000 times, and the result is tails 530 times, the experimental probability of flipping tails is 530/1000, which is 0.53. Theoretical probability, on the other hand, is reached by taking the two possible outcomes and dividing them. The theoretical probability of flipping tails is then 1/2, which is 0.50.

Experimental, sometimes referred to as empirical, probability is often confused with theoretical probability. Theoretical probability is the probability reached by dividing the number of favorable outcomes by the number of possible outcomes. While theoretical probability is very useful, there is often not enough data to calculate. In such cases, experimental probability is the proper substitute if and when the sample size of the experiment is large enough.

Experimental probability is not very useful in experiments with a very small sample size. However, it has the benefit of not needing to rely on assumptions, as it is calculated directly from empirical results. This makes it especially useful in experiments wherein it is necessary to determine if events are statistically independent.

Sources:

## Related Questions

• A: The theoretical definition of probability states that if the outcomes of an event are mutually exclusive and equally likely to happen, then the probability... Full Answer >
Filed Under:
• A: Theoretically, define the probability of a specific outcome of any event as the ratio of the number of outcomes that favor that specific outcome to the tot... Full Answer >
Filed Under:
• A: The variance is the second central moment of a continuous probability distribution. The variance of a continuous uniform distribution on the interval [a, b... Full Answer >
Filed Under:
• A: Two examples of probability and statistics problems include finding the probability of outcomes from a single dice roll and the mean of outcomes from a ser... Full Answer >
Filed Under:
PEOPLE SEARCH FOR