Why 96% RTP Doesn't Protect Your Bankroll: Simulating Gambler's Ruin
Why 96% RTP Doesn’t Protect Your Bankroll: Simulating Gambler’s Ruin While working on my slot engine , I was experimenting with different mathematical models and game modes. One question kept coming up: if a game has a 96% return to player, what does that actually mean for someone playing with a limited bankroll? At first, 96% sounds like the player gets most of their money back. But winnings can…
When evaluating a game's return to player (RTP), a 96% RTP may seem favorable at first glance. However, this metric does not guarantee protection for your bankroll. A thorough simulation illustrates the dangers of bankroll depletion even with a seemingly advantageous RTP.
RTP represents the theoretical gross payout relative to the stake over the long run. In a 96% RTP game, the expected gross payout per €1 bet is €0.96, resulting in a €0.04 net loss on average. The house edge remains at 4%. Yet, this average does not translate to guaranteed outcomes per individual game session.
A €100 bankroll can support far more than €100 in total bets due to previously won funds being wagered again. The actual outcome fluctuates greatly, as the simulation incorporates this variability.
The model used for analysis simplifies gameplay into five payout multipliers: 1×, 2×, 5×, 20×, and 0× the bet, each with distinct probabilities. These multipliers yield the theoretical RTP of 96%. A player's balance adjusts according to the formula: new balance = previous balance − bet + gross payout.
Players commence with a predetermined bankroll and continue making fixed bets until their balance hits zero or their predetermined spin limit is reached. The simulation systematically tracks when this depletion occurs.
Increasing the spin limit allows players additional chances to experience sizable losses that deplete their bankroll. While a higher RTP improves the expected return per bet, it does not ensure players can withstand prolonged and escalating losses. Even under a 100% RTP, where there is no house edge, an individual player can still go bankrupt due to the uncontrollable nature of individual game outcomes.
This simulation experiment demonstrates that a player's eventual depletion of their bankroll is almost certain when the RTP falls below 100% under specific conditions. This phenomenon, known as gambler's ruin, applies even to a fair coin game with a 50% win probability and equal win/loss amounts. Mathematically, a player with a finite bankroll playing indefinitely will eventually reach zero with probability 1.
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