I agree with both of you that each roll of the dice is independent in and of itself from a mathematical standpoint. That the odds of rolling a 6th roll <10 out of 100 after 5 consecutive <10 Rolls (given youre playing a bet where you are wagering the dice will roll >10 out of a possible 100) is 10% in terms of chance, where the previous 5 rolls have no effect on the 6th roll at all.

But mathematically one can assume that certain patterns are unlikely to happen, such as the Monte Carlo Roulette Incident of 1913, where there were 26 rolls of consecutive black, and people lost millions betting red was bound to roll next.

But then again I dont believe an incident like that has happened since. While each roll of the wheel has roughly (factoring out greens or 0s) a 50/50 chance of rolling a red or black, 26 black has the same odds as any other pattern of 26 if pre-determined and bet on, 26 black in a row is astronomically unlikely.

But yes I agree, each roll is independent with no relation to the last roll of the dice. I would wager however you are statistically speaking more likely to see gains FIRST by betting on a 90% win wager using simple a basic Martingale strategy, than an immediate wipe out bust of say 10 consecutive 10% chance losses in a row.

CD