BSC1600 wrote: ↑07 June 2023, 16:54
The dice algorithm needs to be re-written. It is not random. I’m am really fed up with the way that the dice roll. I will not be renewing my membership next year if this keeps up. Is is random when a player gets 4 doubles in a row? It happens repeatedly. I have never rolled more than two at a time in my 60 years of playing. Fix it!!
Although this is the Yahtzee forum, your previous 6 games as of when I started
this analysis were all Backgammon, so I ran the numbers for that instead.
(If you really meant for Yahtzee, then what _exactly_ do you mean by "doubles"?)
In your previous 6 games as of when I started this analysis, there were
41 , 29 , 44 , 58 , 50 , 56 rolls respectively, for both players combined.
That gives at least 20 , 14 , 22 , 29 , 28 rolls for _each_ player.
The two smallest of those numbers are 14 and 20.
Assuming each roll is of exactly two dice:
When the number of rolls is 20, the probability of at least 3 doubles in a row is between 0.06862 and 0.06863 .
When the number of rolls is 14, the probability of at least 3 doubles in a row is between 0.04650 and 0.04651 .
(1-0.04650)^15 is less than 0.49, so: How many games have you played in your 60 years of this?
https://paste.ee/p/S0l0i has Python code I wrote for the above.
I have not yet made the changes to test 4 doubles in a row, but
the above was for the _smallest_ number of rolls in your 6 most recent games
and
you did not link to even one example of anyone getting 4 doubles in a row
.
(I imagine the natural estimate - that the probability is 1/6 of the probability for 3 doubles
in a row - is less than 25% off from the true value for the above numbers of rolls.)