I recently had a debate with a cousin of mine that uses all zeros in their lottery tickets. I think this is somewhere around 6 or 8 zeros. I had it in my head that that would be a poor lottery number as the chance of getting the same numbers following one another decreases exponentially with each successive instance. I do remember from my university statistics class that there is a formula which can explain this one way or the other, but I can't remember what it is. So my question is, would 00000000 be as good a lottery number as, say, 19384928? Further expanding on this idea, how different would 00000000 be from 12345678?
Thanks for reading, apologies if this question has been answered here already.
Edit: Thank you for the replies, everyone! To clarify, the lottery in question uses the ball method, so I don't believe it would have a uniform distribution per instance. I hope that clarifies. I'm also curious if anyone knows the formula for predicting the likelihood of the next number in a sequence? So for example, could it be determined what the mathematical probability of getting 8 zeros in a row would be, provided there isn't some sort of machine randomly selecting the numbers with a uniform distribution for each selection?