Example: win 10 with probability 0.5, otherwise 0 with probability 0.5 gives EV = 5.
WHAT THIS TOOL DOES
This expected value calculator finds the long-run average result from possible outcomes and probabilities.
It is useful when each outcome has a value, score, cost, prize or loss attached to it.
Best folder name: expected-value-calculator
HOW TO USE IT
Enter each outcome value, then enter the probability for that outcome.
Press SOLVE to multiply each outcome by its probability and add the products.
For a complete model, the probabilities should usually add to 1.
EXAMPLE
If a game pays 10 with probability 0.5 and pays 0 with probability 0.5, calculate both weighted terms.
Term 1 is 10 × 0.5 = 5. Term 2 is 0 × 0.5 = 0.
Expected value = 5 + 0 = 5.
WHO USES IT
Students use expected value for probability questions, games of chance, risk, rewards and exam revision.
Teachers and tutors use it to show why EV is a weighted average, not a guaranteed result.
Common searches include expected value calculator, EV calculator and probability expected value.
EXPECTED VALUE FORMULA
EV = Σ(x × p)
Multiply each outcome value by its probability.
Add those products to get the expected value.
For a complete probability model, probabilities should usually add to 1.
BENEFITS
The calculator keeps the outcome values, probabilities, probability sum and final EV easy to read.
It separates reading content from the tool, so SEO text does not collapse into small frames.
Use it for learning, checking working and comparing simple probability-weighted outcomes.
DEVICE HELP
The calculator is split into input and result pages so mobile screens do not hide the answer or crush the buttons.
SEO text, examples and related links are split into internal pages to avoid overlapping the footer.
Keyboard: Enter solves. Escape resets to the worked example.
RELATED PAGES
This page follows probability to odds and links onward to the risk calculator.
Use the probability hub for dice, coins, random numbers, simple probability and combined probability.