playBunny: The reported order of the numbers within a roll isn't relevant is it? Doesn't this just depend on whether a player swapped the numbers before using them?
I also checked my most recent two 21-pointers and found 6 out of 17 same initial rolls for both matches, so 35% compared with an expected percentage of less than 6% if they were independent. I think this is statistically significant and wonder whether there is some circumstance where the first two dice rolls are determined at the same time (and so would always be the same), rather than when each player clicks on the game at different times?
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