May 2023
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139 Reads
Roulette is one of the very popular casino games, and the game presents itself as an excellent candidate for demonstrating the application of mathematical analysis to explore probabilistic reasoning and profitability of bets placed. This work takes up the case of single-zero roulette to form a mathematical model for understanding the winning bet. Firstly, the bets are put into forms of probabilistic events for building the model. Then grouping these into sets, several results from set theory are made use of to generalize bets. The results are then observed from the perspective of understanding the profit, given the outcome of a spin. The modeling for simple bet just gave a generalization and did not increase the probability of winning or not losing the game. Modeling complex bets, on the other hand, turned out to be extremely useful to enhance understanding of bets. The results showed that the probability increased with the change in bet amount which meant that the modeling enhanced players’ understanding of bets, though it did not suggest a winning strategy. This enables the player to have a better decision and choice of the bets he or she wants to place, beforehand.KeywordsBetsGamblingProbabilityProfitRoulette