The Kelly criterion formula

The Kelly criterion sizes a bet to the size of your edge: stake the fraction of bankroll equal to (b × p − q) ÷ b, where b is the profit per $1 at the odds, p your win probability, and q = 1 − p. No edge, no bet — Kelly goes to zero exactly when EV does.

Why half Kelly is the default

Full Kelly assumes your probability estimate is perfect. It never is, and overbetting a wrong estimate is how bankrolls die. That's why half Kelly (or quarter) is the standard: most of the growth, a fraction of the variance. The calculator defaults to half.