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💰 Expected Value

Add the outcomes of a bet · their chances and payoffs · and read the probability-weighted expected value and net gain live.

Chance (%)ResultRemove

Chances add up to 100%

Expected value$215
Expected net gain/loss+$115

Favourable · the average payoff beats the stake.

How it works

Expected value is the probability-weighted average of every outcome: multiply each result by its chance (as a decimal) and add the products. Above your stake the bet is favourable on average; below it, it is a losing proposition. Note that expected value ignores risk · a bet can be favourable on average and still carry a real chance of ruin.

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