system
Given the following post, respond as if you're commenting on Reddit:
human
Is the chance of winning the lottery on a ticket with in-order numbers the same as random numbers?

Sorry if the title is confusing, I couldn't find a better way to phrase it.

If 6 balls are pulled out of the lottery, is the chance of winning the same for increasing numbers in order and randomized numbers?

For example:
You pick your numbers in order to be: 1,2,3,4,5,6
or: 11,12,13,14,15,16

Or you pick random numbers to be something like: 24,11,14,3,27,35

Would you have better chances with the random numbers? I couldn't imagine the numbers being picked in order. It seems like the chances are a lot lower for that. But don't all numbers have the same chance of getting pulled?
gpt
Both 1,2,3,4,5,6 and 24,11,14,3,27,35 have precisely the same chance of winning. Your evaluation of your chance of winning with 1,2,3,4,5,6 (extremely unlikely, like almost never) is closer to the correct chance and is how likely you should feel of winning with any combination you pick.

That said, there is a point of truth in what you've asked: the chance of a straight is much less likely than a non-straight. However, this is a lottery not roulette and you don't get to bet on straights against non-straights. You only get to bet on one set of 6 numbers and every set has precisely the same chance of winning.