Yahtzee, as the game play suggests, is highly mathematical in nature. There are a huge number of probabilities involved when rolling the dice. It would be pretty awesome if you could roll what you needed every single turn eh? That of course, would be highly improbable.

This article though will share with you the mathematics behind the game, just so you get a better understanding of the game you love so much.A commonly known fact is the maximum score you can achieve in this game. You can achieve a highest score of 375 by scoring full scores for your entire upper section (5 Aces, 5 twos, 5 threes and so on), and a maximum lower section score as well. For a maximum lower section score, you need 5 sixes played as a 3 of a kind and 5 sixes as a 4 of a kind to start off with.

Subsequently, you will also need to get a full house, a small straight, a large straight, a yahtzee and 5 sixes played as a chance. The maximum upper section score is 115. The 35 point bonus that comes with it gives you a score of 140.On the Lower section, everything will add up to (375-140) a whopping 235. Of course, the probability of getting a maximum socre is pathetically low!And that is why nobody ever goes for the perfect score, ever.

On the flip side, the lowest possible score you could possibly achieve is 5. Of course this is highly unlikely, because to get a 5, you would have rolled 5 Aces. And that is technically a Yahtzee, which would give you 50. Thats why, in general, even if you are a poor player, you will end up with a score of about 12 to 18.

Here's something you would probably want to know! What is the probability of getting a Yahtzee in one particular turn? As you know, 1 turn gives you the chance to roll the dice 3 times. As such, the calculations (which are not that easy by the way), will result in a probability of 1 out of 22. That is the probability of getting it in any of the 3 rolls in a turn.The chances if getting it on your first roll in any turn is even lower! 1 out 1296. I bet you did not expect that eh?

The probability of getting a specific Yahtzee (all 4s, or all 5s) is 1 out 75.Now this one is bound to give you a couple of laughs!The probability of you rolling 13 Yahtzees in a single game is 1 out 283 quadrillion! And if you did not know, a quadrillion consists of a whopping 15 zeroes!

It's highly impractical to play Yahtzee based on knowing probabilities, because knowing them won't help you to win anyway! But, these sure are fun facts for you to know eh?