Expected Value Calculator
Expected value calculator
Calculate expected value from outcomes and probabilities (probabilities auto-normalize).
Result
1.9
Total input probability = 1 (auto-normalized if needed).
stats
Advanced options
Flow
- Enter outcomes and matching probability list.
- Ensure each probability corresponds to same index outcome.
- Compute expected value with automatic normalization if probability sum is not exactly 1.
Example
Worked example: outcomes 0,1,2,3 with probabilities 0.1,0.2,0.4,0.3
- 1 Multiply each outcome by its probability.
- 2 Sum weighted terms.
- 3 Result gives long-run average outcome.
Expected value equals 1.9.
How
- Enter outcomes and matching probability list.
- Ensure each probability corresponds to same index outcome.
- Compute expected value with automatic normalization if probability sum is not exactly 1.
Avoid
- Using probabilities that do not align with outcome order.
- Supplying negative probabilities.
Checks
Best fit
Expected Value Calculator is built for calculate expected value from outcomes and associated probabilities. If Expected Value Calculator does not match the input scope, compare the answer with a second method.
Input check
Match the entered values to this rule before copying the answer: E[X] = Σ(xi × pi).
Sanity check
For Expected Value Calculator, use the worked example as a quick benchmark: Expected value equals 1.9. If the expected value calculator answer is far away, check whether an input, unit, or mode changed.
Before copying
Review this common issue first: using probabilities that do not align with outcome order.
FAQ
Must probabilities sum exactly to 1?
Not strictly. Inputs are normalized when total is positive but not exactly 1.
Can outcomes be negative?
Yes. Expected value supports positive and negative outcomes.
Is this the same as sample mean?
It is a probability model expectation, not necessarily empirical sample average.
Switch
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No match.