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There is no way to know in advance what numbers will be drawn. As to the possibilities, the possibilites are the same every time, since the rules of the game don't usually change.
they never meet again at the same time
Assuming they are fair, regular dice, the probability is 1/18.
The probability is 6/36 = 1/6.
Only if you assume that the true values are supposed to be the same every time. Otherwise, it is also possible that there is, indeed, a lot of variation among the values.