The answer to the math problem
I did horrible probability in College
If one of 3 boxes contains fun, that means that each box has 33.33% chance of having fun
so to summarise
Box 1 = 33.33%
Box 2 = 33.33%
Box 3 = 33.33%
But wait.. monkey opens Box 3 and laughs in your face saying what now?
Box 1 still has 33.33% chance of having fun
however
Box 2 is now 66.66% chance of having goodies inside
why? here's the tricky semantics
Box 1 has a 33.33% chance of having goodies, which means that there is a 66.66% chance of goodies NOT being in there..
So when Box 2 and 3 where there, the probability of fun NOT being in box 1 was 66.66% split two ways into box 2 and 3...
but since box 3 is taken away
then that 66.66% chance of NOT being in box 1 and being in box 2 and 3, can now be interrupted as a 66.66% chance of fun being in box 2 alone.
I hope you followed