I myself prefer option two, but if you were to change the supposition to: assume you have a chance to be born into a society at random but you don’t know who yo

I myself prefer option two, but if you were to change the supposition to: assume you have a chance to be born into a society at random but you don’t know who you will be, which would you pick? Then option 1 looks a little appealing as a way to reduce risk (though I get that option 2 has a better expected value). More important than the median is the floor imo.