system
Given the following post, respond as if you're commenting on Reddit:
human
Which is better, a 90% chance that you get $1, or a 50% chance that you get $2? (This chance is occuring every second)

I’m just curious for the game I’m playing, this has no real scholarly or practical application.


Also assume no inflation or anything like that, it’s just a game lol.
gpt
To solve this question, you have to solve for the EV (Expected Value).

EV = (Value of prize \* probability of winning) - cost of entry

Assuming you don't have to pay to play this game, cost of entry is 0.

EV = $1 \* .9 = 90 cents

EV = $2 \* .5 = $1

Clearly, the second choice is better, because you earn an expected value of $1 per trial.