Lottery numbers and chaos/quantum theory

Question

Please settle an argument if you would be so kind. In a group chat, one person took the position

1,2,3,4,5,6 has as much chance of coming out in the lottery as any other six numbers you define, e.g. 3,11,23,33,34,46.

A second person took the position that this was untrue because:

Those numbers include the randomness of chaos theory, but a perfect sequential number doesn't have that so its chances become slimmer. If you drill down to the mathematics of it at least.

Person two also went to go on to discuss quantum theory as well.

So from a pure statistics point of view, I believe, the first person is correct. My question for you good folks is in two parts (mostly the second part):

1. Is the first quote correct?

2. Even if the first person is correct, are there any theory/basis for the second quote when it comes to the real-world execution of a lottery? Ideally something I can look up and read more about. It's entirely possible they're remembering something valid, but are not quoting it properly.

Answer 1

"1,2,3,4,5,6 has as much chance of coming out in the lottery as any other six numbers you define, e.g. 3,11,23,33,34,46"

This is correct.

"those numbers include the randomness of chaos theory, but a perfect sequential number doesn't have that so its chances become slimmer. if you drill down to the mathematics of it at least".

There is absolutely no truth in this. This is simply nonsense and shouldn't be given a second of thought. To me it seems like the person just wanted to sound smart, even though he has no idea what he's talking about.

Answer 2

I can kind of understand the confusion. You're more likely to get some "random" set of numbers than you are to get 1,2,3,4,5,6.

But in your example, the set of numbers 3,11,23,33,34,46 is no less random than 1,2,3,4,5,6. In each instance, you're looking for a specific set of numbers. The probability of either set is equal.

Basically, person 2 was trying to assign some probabilistic importance to the specific set of numbers 1,2,3,4,5,6; but as far as probability is concerned, the set of 1,2,3,4,5,6 is just as significant as 3,11,23,33,34,46.

The whole bit about chaos theory is nonsense. Chaos theory relates to the end result being very sensitive to starting conditions for a deterministic system. The physical number draw in a lottery would involve aspects of chaos theory, in the sense that the system fairly "chaotic" and sensitive to initial conditions. That has no bearing on the difference between either set of numbers, so his statement was very unclear. Randomness is what ensures that 1,2,3,4,5,6 is just as likely as 3,11,23,33,34,46; so what they are saying really made no sense, and actually supports 1,2,3,4,5,6 being as likely as 3,11,23,33,34,46.