Odds and maths

Bankroll (definition and limits)

A bankroll is the amount set aside for play. What bankroll management can and cannot do, with a worked example at a 3 percent house edge.

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A bankroll is the total amount you set aside to play with. Bankroll management means deciding in advance how much you are willing to spend, how much to bet per round and when to stop. It controls how much you can lose and how long you can play, but it cannot turn a negative expected value into a positive one.

Worked example

Suppose a session budget is 1,000 coins in a game with a 3 percent house edge.

Bet sizeRounds the bankroll covers (if every round lost)Total wagered if you play 100 roundsAverage cost of those 100 rounds
10 coins1001,00030 coins
50 coins205,000150 coins
250 coins425,000750 coins

A smaller bet makes the budget last longer on average, since each round puts less at stake. A larger bet burns through it fast. The average cost scales with the total wagered, so the only way to reduce the average cost is to wager less in total.

Volatility decides how bumpy the ride is

The same 10-coin bets behave differently in different games. In a low-risk Wheel you win seven spins in ten, so the bankroll drifts down gradually. In a high-risk game that pays rarely, you may lose 30 or 40 rounds in a row before a win. A bankroll sized for a gentle game can vanish in a swingy one. See Volatility (definition and examples).

Coins versus real money

Coins in Cashout Arcade have no cash value, so a coin bankroll cannot cost you real money by itself. If you buy coins, the amount you spend is real. Decide that amount first, and treat it as the price of entertainment, like a cinema ticket, not as capital you expect to grow. Phone-level spending controls, such as Apple's Screen Time purchase limits, can enforce it.

Common misconceptions

  • "A bigger bankroll lets me beat the edge." It lets you play longer, which costs more in total.
  • "Bet small after a loss, big after a win (or the reverse) to stay safe." Bet patterns do not change the percentage the game keeps. See Martingale (betting system explained).
  • "I will stop when I am ahead." A fixed stop-loss limit works; a stop-win rule alone does not, because the average result stays negative.

If play stops being fun or starts to cut into time or money you did not plan to use, see Play Safely in Cashout Arcade: Limits and Breaks.