# Empirical Probability Calculator

## Related Converters

An online empirical probability calculator calculates the probability of an event that is based on past or historical data. Simply put, the number of times an event occurs and the number of times an experiment is performed in the experimental and theoretical probability calculator to carry out the fast calculations.

## What Is Empirical Probability?

“It is the ratio of the number of outcomes in which a specified event occurred to the total number of trials”.

Empirical probability is based on historical data and is also known as experimental probability which is closely related to the relative frequency of an event.

For Example:

The number of times in which an event X happens out of 100 trials will be the probability of an event X happening. Like;

A coin toss three times and we look for a tail and get a head in all attempts hence the probability of getting the head all the time is 0% or 0/3.

## Empirical Probability Formula:

With the help of our online empirical probability calculator determines the likelihood of occurring of an event from the following formula:

P(E) = f/n

Where:

• f = number of times an event occurred
• n = number of times the experiment performed

To determine the empirical probability divide the number of times an event occurred by the number of times the experiment was performed.

## How To Calculate Empirical Probability?

Empirical probability is the likelihood of an event that is based on past data and historical data. In order to better understand the purpose of an Empirical probability calculator, let's examine an example.

### Example:

An experiment that was performed 8 times and measure the positive or successful outcomes that occurred during those 8 experiments. We will say that there were 5 events.

By using the empirical probability formula we can find the experimental probability.

Empirical Probability = f/n

P(E) = 5/8

P(E) = 0.63

## Working of Empirical Probability Calculator:

In order to better understand the purpose and workings of an experimental and theoretical probability calculator, let's examine some meaningful points which are as follows:

Input:

• Enter the number of times in which an event occurred
• Put the number of times the experiment performed
• Tap “calculate”

Output:

Below are the results you will receive when using our empirical probability calculator.

• Empirical probability
• Shows complete steps of calculation

## Types of Probability:

There are several types of probability that are as follows:

• Empirical probability
• Conditional probability
• Subjective probability
• Axiomatic probability
• Classical or theoretical probability
• Joint probability

## Empirical and Theoretical Probability:

Empirical probability is based on historical data and theoretical probability is the simple form of probability that refers to the outcomes based on practical reasoning. We say that empirical probability requires a number of experiments, and theoretical probability does not require any experiments and creates a ratio of the number of outcomes to the total of numbers.

## References:

From the source Wikipedia: Empirical probability, Advantages and disadvantages, how to find empirical probability.