CaractacusPots wrote: ↑06 September 2020, 18:52
Ok happy to get more serious on this and look at data
I've waded through my game histories to look at the number of DOUBLES occurring against the number of dice throws in the game
Here are the first 22 games that weren't conceded by either player
Game No---No Of---Total---%
----------- Doubles -Throws
#109661286----12----50 (24%)
#109671565----4----- 44 (9%)
#109671796----8----- 55 (14.5%)
#109677539----10----41 (24%)
#109696866----9----- 35 (25%)
#109826928----3----- 42 (7%)
#109840092----12----41 (29%)
#109849486----8-----36 (22%)
#109844128----9-----64 (14%)
#109856820----5-----43 (11%)
#109859222----7-----61 (11%)
#109851074----8-----50 (16%)
#109969081----4-----46 (8.6%)
#109963403----4-----53 (7.5%)
#109968324----9-----75 (12%)
#109965336----5-----57 (8.7%)
#109963218----9-----43 (21%)
#109981226----9-----30 (30%)
#110013686----6-----71 (8.4%)
#110012369----18----69 (25%)
#110129592----5-----62 (8%)
#110129835----10----45 (22%)
There are 6 doubles among 36 possible throws so doubles should occur 1 in 6 throws on average or 16.6%
As can be seen above the number generation is nowhere near this. It is consistently either way above at 22%-30% or way below at 7%-11%
Of the 22 games above only 4 of them have doubles happening close to the expected 16% (allowing 12%-20%)
41% of games (9) have way under the number of doubles expected
41% of games (9) have way over the number of doubles expected
18% of games (4)have the correct average number of doubles
You may say 22 games is a small sample but frankly I have every confidence that if I continue looking at the next 20-30 games this pattern will continue.
Or maybe my maths is off?