[goldbux]

The probability of rolling one six-sided die, landing with a one (snake eye) = P(rolling one snake eye) = 1/6 = 0.16667.

The probability of rolling two six-sided dice, coming up snake eyes =
P(rolling snake eyes) = 1/36 = 0.027778. That’s exactly the same as the probability of rolling one die twice, landing with a one on each roll.
P(rolling two successive ones) = (1/6)^2 = 0.027778.

The probability of rolling two six-sided dice, coming up snake eyes four times in succession =
P(rolling four consecutive sets of snake eyes) = (1/36)^4 = (1/6)^8 = 1/1,679,616 = 5.95374E-07 = 0.000000595374.
That’s fewer than six chances in ten million; 1,679,615-to-1.

The probability of rolling two six-sided dice, coming up snake eyes ten times in succession =
P(rolling ten consecutive sets of snake eyes) = (1/36)^10 = (1/6)^20 = 1/3,656,158,440,062,980.
That’s one chance in 3.656 quadrillion.

The probability of rolling two six-sided dice, coming up snake eyes 1,000 times in succession =
P(rolling 1,000 consecutive sets of snake eyes) = (1/36)^1000 = a number so infinitesimal as to be indistinguishable from zero, having no meaning in the physical world. You can roll the dice until long after the heat death of the universe without seeing that result.

[fortheDeclaration]

You can give all of the probabilities you want but once the dice are rolled it is a separate event.

Nothing dictates what the dice will turn up as.

[Nervous Tick]

>> You can roll the dice until long after the heat death of the universe without seeing that result.

Odds are, you can. :-)

But the same can be said of any combination of 1,000 dice rolls.

Yet ONE of them will occur after only 1000 rolls.

Isn’t probability fun?