Game Probability Calculator

In a perfectly fair game, a 2x multiplier would hit exactly 50% of the time. But the casino takes a small cut, typically 1%, so a 2x actually hits 49.5% of the time. This seemingly tiny difference compounds over hundreds of bets into a predictable drain on your bankroll. The house edge is the percentage of every dollar wagered that the casino expects to keep over the long run.

Mines uses combinatorial math. The probability of safely revealing k tiles from a 25-tile grid with m mines is the number of ways to pick k safe tiles divided by the total ways to pick k tiles from all 25. Each additional tile you reveal dramatically decreases your probability of survival but increases the payout multiplier proportionally.

No betting strategy, Martingale, Fibonacci, D'Alembert, or otherwise, can overcome a negative expected value. Every bet in these games has negative EV by design. Strategies can change the variance (how volatile your balance is), but they cannot change the expected value. Over a sufficiently large number of bets, your results will converge to the house edge. This is a mathematical certainty governed by the Law of Large Numbers. The only winning move in a -EV game is to play for entertainment with money you can afford to lose.