system
Given the following post, respond as if you're commenting on Reddit:
human
If I'm in a group of ten people taking turns guessing a number from one to ten, when would I be most likely to guess right?

If I guessed first, I would have a 1/10 chance of getting it right. Assuming the number is constant, the next to guess would have a 1/9 chance, but there's also a chance the first person would've already guessed it. I wouldn't put my money on a 1/10 chance, but I wouldn't want to wait to guess last either, because it would definitely have been guessed by then (probably). When would be the opportune time for someone to throw in their random number guess, somewhere in the middle?
gpt
Actually, assuming the numbers are evenly distributed, everybody has a 10% chance of winning!

First person: Obviously, a 1 in 10 chance, i.e., 10%.

Second person: 90% chance the person gets to go; if she does, it's a 1/9 chance of winning, so overall odds of winning: 10%

Third person: 9/10 that second person got to go, and 8/9 that second person did not succeed, and (9/10)(8/9)=8/10, so 80% chance third person gets to go.  His odds of winning are 1/8, and so overall odds he wins are (1/8)(80%)=10%.

This just keeps on going, producing 10% odds for everyone.