Is the game unfair? Understanding randomness in Backgammon.

Feeling like luck isn't on your side in our Backgammon app? Let's dive into how the game uses randomness to ensure fairness for every player:

1. Random Patterns: During your games, you might notice sequences that seem unusual or deliberate. However, these occurrences are simply the result of randomness. It's natural to see patterns emerge by chance, and this unpredictability is a fundamental part of the game's excitement.
2. Law of Large Numbers: This concept tells us that as you play more games, the outcomes of dice rolls will start to reflect the expected probabilities. In simpler terms, any streaks of luck—good or bad—will balance out over many games, aligning with what's statistically likely to happen.
3. Law of Truly Large Numbers: Given a large enough number of rolls, even the rarest outcomes are bound to happen eventually. This means that unusual patterns or sequences aren't just possible; they're expected as part of the game's random nature
4. Strategic AI: Our game's artificial intelligence (AI) makes decisions based on statistical probabilities and the current state of the board, not on luck. For instance, it knows there's a certain likelihood (15 out of 36 chances) to move a piece 4 spaces in a roll. This approach might make it seem like the AI often gets favorable rolls, but in reality, it's just playing strategically within the bounds of probability.

By understanding these aspects, you can see that what might feel like "unfairness" is actually the thrill of strategy meeting chance in Backgammon. It's all about navigating the unpredictable, making smart decisions, and sometimes, just enjoying the ride.