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Probability-Based Strategy for Mines


roykuntal13

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1. Calculate the Initial Probability of a Safe Tile

At the start, figure out your chance of clicking a safe tile. For example, on a 5x5 board (25 tiles) with only 1 mine, the chance of picking a safe tile is 24 out of 25, or 96%.

As you click and reveal safe tiles, this probability will go down, so keep it in mind as you decide whether to keep playing or cash out.

2. Start with Fewer Mines for Better Odds

Fewer mines mean safer plays and more consistent rewards.

For example, on a 5x5 board:

With 1 mine, your chance of a safe choice is about 96%.

With 3 mines, your chance of choosing a safe tile drops to around 88%.

Lower mine counts increase your odds of picking safe tiles, so starting with 1-3 mines can help you build your bankroll steadily.

3. Recalculate the Probability After Each Reveal

Each time you reveal a safe tile, update your chance of the next tile being safe.

To find your new probability of safety, divide the number of safe tiles left by the total tiles remaining.

For instance, if you’ve cleared 5 safe tiles on a 5x5 board with 1 mine, there are now 20 tiles left, with 19 safe tiles and 1 mine. Your chance of picking a safe tile next is 19 out of 20, or 95%.

4. Use Expected Value (EV) to Guide Your Decisions

Expected Value (EV) helps you weigh the possible rewards against the risk of hitting a mine.

To estimate EV, multiply your chance of revealing a safe tile by the payout amount, then subtract the chance of hitting a mine times the loss amount.

If your EV is positive, you have favorable odds. If it’s negative, it may be better to cash out.

5. Set a Probability Threshold for Safety

Before starting, decide on a probability threshold (like 85%) where you’ll cash out if the chance of picking a safe tile falls below that point.

By setting this limit, you reduce the risk of hitting a mine as your chances decrease with each reveal.

6. Reveal Tiles Using a Consistent Pattern

Stick to a method, like revealing tiles along the edges or in clusters. Edges may have slightly fewer adjacent mines on average, and clustering your choices can help avoid random mine hits.

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