Ok I get where I mess up. I mix the sum of number of doubles for both player, with the number of turns in average for one player. Which just multiply the number of doubles by 2, which is enormous.
N_Faker wrote: ↑13 April 2021, 20:58163852413: 2y 4r 27
163842398: 3y 4r 24
163760484: 5y 2r 25.5
163750180:
5y 5r 31.5
163749910: 2y 3r 22
163733497: 6y 4r 16.5
163731807: 1y 2r 11
163737793: 3y 3r 18.5
163730921: 3y
2r 17
163729488: 5y
6r 19
So we got those numbers: 6>54, 7>48, 7>51, 10>63, 5>44, 10>33, 3>22, 6>37, 5>34, 11>38.
Which gave these probabilities to do this number of doubles or less: 18%, 44%, 37%, 52%, 24%, 98.5%, 58%, 49%, 58%, 49%, 98.3%
So the probabilities I got should be normally (nearly) completely random.
And yeah it's the case here. We got two number of 98.x, which is pretty high, but which still happen one game out of 60. This isn't weird at all.
@Ze Monstah:
When I said you (or humans) didn't got a good feeling about probabilities... (and me too btw, was too focused on my calculations which I assumed were right)
I'm trying to be in your camp, but if it's the most weird thing you can find out of 170 games, everything is normal (would said the same even for 30 games here). (I will personnally start to put less value on your posts from now on, since I got this one, which is completely into the camp of you who didn't got a good feeling of probabilities)
dschingis27 wrote: ↑13 April 2021, 21:59I would be interested to know how these probablities were calculated. I feel pretty confident that these are incorrect.
Yup they were wrong. My table was right but where I looked at were not. Just a bernouilli table which I have done more than 10 times in excel (since it's easy and fast to do).
Ty all.