And there are games on this site that get played thousands of times a day. That 0.01% chance thing? Happens multiple times a day.
Example: Backgammon. In Backgammon rolling doubles is a very good thing, and the higher the dice the better. So double six is the best roll. That’s a 1/36 chance. Which means the chances of doing it three times in a row is, for any given set of three rolls, 1/46656. However, the average backgammon player rolls 33 times per game, which means 31 chances to start a sequence of three double sixes, so now we are down to 1/1505 chances for each player in a given game. And there are two players so now we are down to 1/753 chances of it happening in a given game.
Backgammon was played 50 times in the last half hour. I don’t know how or if you can see how many times a day it is actually played but extrapolating 50 times in a half hour to a full day, that’s 2400 games a day. So that supposedly impossible thing, with a 1/46656 chance? Probably happens three times a day somewhere on BGA.
And that’s just in Backgammon. Lots of other games use a pair of dice, so there are a lot more chances of this happening somewhere, somehow.
That’s probability for you.
Example: Backgammon. In Backgammon rolling doubles is a very good thing, and the higher the dice the better. So double six is the best roll. That’s a 1/36 chance. Which means the chances of doing it three times in a row is, for any given set of three rolls, 1/46656. However, the average backgammon player rolls 33 times per game, which means 31 chances to start a sequence of three double sixes, so now we are down to 1/1505 chances for each player in a given game. And there are two players so now we are down to 1/753 chances of it happening in a given game.
Backgammon was played 50 times in the last half hour. I don’t know how or if you can see how many times a day it is actually played but extrapolating 50 times in a half hour to a full day, that’s 2400 games a day. So that supposedly impossible thing, with a 1/46656 chance? Probably happens three times a day somewhere on BGA.
And that’s just in Backgammon. Lots of other games use a pair of dice, so there are a lot more chances of this happening somewhere, somehow.
That’s probability for you.