Mines Game Probability Calculator & Risk Estimator

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💣 Mines Probability & Risk Estimator

Evaluate hyper-exact combinatorial odds and volatility curves for Spribe Mines grids.

🎯 Probability Matrix Output

Mathematical Probability Distribution of 5×5 Grid Selection

The Mines Risk Estimator calculates exact win conditions utilizing the laws of dependent compound probability and the hypergeometric mathematical distribution model. In a confined 25-tile system, each consecutive selection directly alters the mathematical ratios of the remaining data sets.

The Hypergeometric Formula Layer:

Because selected tiles are not replaced, the drop in survival probability is non-linear. The probability $P$ of successfully clearing $C$ tiles consecutively without uncovering any of the $M$ hidden mines within a total grid space $T=25$ is structured as:

Sequential Compound Odds Equation:
P(Success) = ( (T - M) / T ) * ( (T - M - 1) / (T - 1) ) * ... * ( (T - M - C + 1) / (T - C + 1) )

Standard Risk vs. Return Matrix (Based on 3 Hidden Mines)

Successful Clicks Exact Survival Odds Mathematical Risk Factor Theoretical Return Tier
1 Click 88.00% 12.00% Risk of Ruin 1.13x Multiplier Base
3 Clicks 66.95% 33.05% Risk of Ruin 1.49x Multiplier Base
5 Clicks 49.56% 50.44% Risk of Ruin 2.01x Multiplier Base
10 Clicks 18.43% 81.57% Risk of Ruin 5.42x Multiplier Base