>>23285201
That is a logical conclusion, but you need to consider the percentage of the box you chose first.
>think “I saw a big mac, so now it’s either the Mac-Mac box or the Mac-Cheeseburger box. That’s two equally likely options, so the chance of the next one being a big mac is 1/2.”
But that’s not quite right, because the act of drawing a big mac doesn’t give equal evidence for both boxes:
>If you picked the MM box, you were guaranteed to see a big mac on the first draw.
>If you picked the MC box, you only had a 1/2 chance of seeing a big mac first.
So this increases it from 1/2, as you are more likely to of taken the mac from the MM box for your first pick, than grabbing the mac out of the mac-cheeseburger.
Think of the OP's question needing to also solve this question
>"You pulled out a big mac out of a box, which of the box did it likely come from. DId you pick the 1 mac box and get lucky, or the 2 mac box?"