I think the idea of the game was you get one chance to pick a bean. After all, if you can just keep picking beans until you’ve picked all the reds, there’s not really much point to the so-called game anymore, is there?
Even if you can’t keep picking until you’ve gotten all the reds, there may be some number of draws where the probability of drawing more than one from the jar with more reds exceeds the loss of probability from them being a smaller portion of the total.
But it depends on exactly what the rules are.
In terms of our reflexes… The lower levels of consciousness often aren’t particularly good at math, so they probably just use a rough count.
I think the idea of the game was you get one chance to pick a bean. After all, if you can just keep picking beans until you’ve picked all the reds, there’s not really much point to the so-called game anymore, is there?
Even if you can’t keep picking until you’ve gotten all the reds, there may be some number of draws where the probability of drawing more than one from the jar with more reds exceeds the loss of probability from them being a smaller portion of the total.
But it depends on exactly what the rules are.
In terms of our reflexes… The lower levels of consciousness often aren’t particularly good at math, so they probably just use a rough count.