Entropy Calculator

Enter the probabilities of each event (each probability between 0 and 1) separated by commas.

How to Use the Calculator

To calculate entropy, input the probabilities of each possible outcome in the event space. Make sure to separate each probability with a comma. For example, if you have three possible outcomes with probabilities of 0.1, 0.2, and 0.7, enter them as “0.1, 0.2, 0.7” without quotes.

How It Calculates the Result

This calculator uses the formula for Shannon entropy, which is -Σp(x)log₂(p(x)), where p(x) is the probability of each outcome. It adds up the product of each probability with the base-2 logarithm of that probability, and then takes the negation of the sum.

Limitations

The probabilities must sum up to 1 and each probability value must be between 0 and 1. Otherwise, the result might be inaccurate. The calculator does not handle invalid inputs or non-numeric values; it assumes that all inputs are valid probabilities.