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📈 Kelly Criterion Calculator

Free Kelly criterion calculator. Enter the odds, your win probability and bankroll to find the optimal stake, with full, half and quarter Kelly options.

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📈Kelly Criterion Calculator

How the Kelly Criterion Calculator Works

The Kelly criterion is a staking formula that tells you what fraction of your bankroll to bet to maximise long-term growth, given the odds and your estimated probability of winning. Bet too much and you risk ruin; bet too little and your bankroll grows slowly. Kelly finds the mathematically optimal middle.

Kelly Formula

If the result is zero or negative, the bet has no edge and Kelly says stake nothing. The calculator also shows your edge (expected value): odds × probability − 1.

Worked example

Odds of 2.50 with a 50% win chance: b = 1.5, p = 0.5, q = 0.5, so f* = (1.5 × 0.5 − 0.5) / 1.5 = 16.7% of your bankroll. On a $1,000 bankroll that is $167 at full Kelly, or $83 at half Kelly.

Why use fractional Kelly?

Full Kelly is aggressive and assumes your probability estimate is exactly right. Because real estimates are uncertain, many bettors use half or quarter Kelly to cut variance and drawdowns while keeping most of the growth. The key input is honest probability — garbage in, garbage out.

Frequently Asked Questions

What is the Kelly criterion?+
It is a formula for sizing bets to maximise the long-term growth of your bankroll, based on the odds and your estimated chance of winning. It balances growth against the risk of going broke.
What is the Kelly formula?+
f = (b×p − q) / b, where b is decimal odds minus 1, p is your win probability and q is 1 minus p. The result is the fraction of your bankroll to stake.
Should I use full Kelly?+
Most bettors use half or quarter Kelly. Full Kelly maximises growth in theory but is very swingy and assumes your probability estimate is perfect, which it rarely is.
What if Kelly says bet zero?+
That means the bet has no positive edge at those odds and that probability. The mathematically correct stake is zero — you should not bet.

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