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Risk of ruin

Probability of losing the whole bankroll before reaching a target or spin count.

In context

For flat even-money betsbetEven-money betRed/black, odd/even, high/low. 18 numbers, pays 1:1.Read full → it follows the gambler’s ruin formula; bigger bets paradoxically improve the odds of hitting a target because they expose less money to the edge.

Did you know

Pascal posed the gambler’s ruin problem to Fermat in 1656, and both solved it; Huygens heard of it, solved it too and printed it in 1657. It is older than roulette itself.

Related terms

MathematicsRisk of RuinToolsRisk of Ruin Calculator
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