How bet size affects the RTP of a betting system

Win amounts in games of chance are usually calculated using the bet size. The overall payout ratio of your betting system is therefore also affected by the size of your bets. The rule of thumb is simple: The higher the size of your bets, the higher (usually) the RTP of your betting system. We assume that all the other rules and parameters of the betting system, including the initial bankroll, remain the same.

We will again use roulette to demonstrate the effect of the bet size on a betting system’s results. The players again come to a casino with 100€ and leave if their bankroll reaches 0 or exceeds 500€. Player X bets 20€ and player Y bets 5€ in each game round. Both players place bets on color (red or black).

After simulating one million instances of player X, we found out that 10.9% of them managed to get to 500€. This amounts to a 48.68% RTP and an average of 84 rounds played.

On the other hand, out of one million instances of player Y, only 0.88% managed to win (an average of 706 rounds, RTP of 3.55%). If player Y wants to leave the casino with 500€, he must win 80 game rounds more than he loses. It seems that having such a “run” on roulette is quite rare.

The statistics are clear in this case. When placing low bets on a low variance game, you may be playing for longer, but your odds to win a satisfactory amount of money drop significantly.

On the opposite side of the variance spectrum is a combination of a high variance game with high bets. Player Z came to a casino with 100€ and he decided to play all-in on roulette on a single number. The results of simulation show that from one million Z players, only 2.71% managed to win. However, each of the winners left with 3600€ (RTP of 97.4%). Each of the Z players played exactly one round.

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