Expected Value Calculator

This Expected Value Calculator will help you determine the average outcome you might expect from a probabilistic event or series of events.

This is an Expected Value Calculator that helps you determine the expected outcome of a set of variables, each with an assigned probability. Use it to calculate the mean value of a set of numbers when each number has a specific likelihood of occurring.

How to Use the Calculator

Enter a set of numerical values separated by commas in the first input box (e.g., 2, 3, 5).
Enter the corresponding probabilities for these values in the second input box, also separated by commas (e.g., 0.5, 0.3, 0.2).
Ensure the sum of all probabilities equals 1 (100%).
Click the “Calculate” button to view the expected value result.

How the Calculator Works

The calculator multiplies each value by its corresponding probability and sums these products to find the expected value. The expected value provides the average outcome if the experiment were to be repeated infinite times.

Limitations

For accurate results, the total of probabilities must equal 1. Probabilities should reflect realistic scenarios. This calculator uses decimal probabilities (not percentages), and it does not handle non-numeric inputs or incomplete data sets. Values and probabilities count must match.