Quote Originally Posted by givememyleg View Post
you have to think of it in two separate parts.

1) 1 out of 3 boxes is $300. 2 out of 3 boxes is $0.

2) 1 out of 2 boxes is $300. 1 out of 2 boxes is $0.

if you have your choice between the two, obviously you would pick #2.

The first "coin toss" was three side, whereas the next one is two sided.
In your second part, there's still no reason to pick Box B over Box A. Yes it's a better situation to be in than Situation One, but you're in this new better situation 100% of the time and your choice comes now, your choice doesn't come first and put you in the new better situation.