How does the Expected Value Calculator work?

E(X) = Σ (outcome × probability) Then: Sum all possible outcomes weighted by likelihood Then: E(X) = what you expect to "win" on average Then: Used in decision trees and risk analysis.

Can you give an example of how to use the Expected Value Calculator?

Example: Input Outcomes: 1,2,3, P: 0.5,0.3,0.2 gives a result of E(X)=1.7.

Is the Expected Value Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Expected Value Calculator?

Our Expected Value Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Mathematics

Expected Value Calculator

Expected Value E(X)

Values (comma-separated)

Probabilities (comma-separated)

Calculates expected value of outcomes weighted by probability. Decision-making metric.

Symbol	Name	Unit	Description
E	what you expect to "win" on average	—	what you expect to "win" on average
X	what you expect to "win" on average	—	what you expect to "win" on average

Difficulty:intermediate

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Did You Know?

Casino games have negative EV for players (house edge); insurance has positive EV (expected claim > premium).

References

›Expected Value Calculator

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Expected Value Calculator

Expected Value E(X)

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Expected Value E(X)