>>16702542
>there's a silver ball in it.
Yeah, in the box, not in the pool of gold balls in the box. Again, you are a selecting a random GOLD BALL, NOT A RANDOM BALL.

>>16702553
We aren't discussing the original problem. We're dealing with the version seen here
>>16700326

>then you pick a ball at random from the box you've chosen. 1/2 chance of any ball from your box.
This is wrong. It should be
>then you pick a *gold ball* at random from the box you've chosen. 1/2 chance of either ball from the left box. 1 chance of the gold ball from the middle box. 0 chance of the silver ball from the middle box. 0 chance of any ball from the right box.

>>16702564
The new, coherent question is
>What's the probability that having already picked a gold ball by first picking a random box and then picking a random gold ball from that box you will then pick another gold ball by picking from the same box?
The answer being 1/2.