Hmm this might be true. I'm not sure. The reason I think it might be true is because there is a famous mathematical problem, kind of like this, where the chances change and you should act on it.
This is it:
You're on a gameshow. There are 3 doors. 2 doors have nothing, one has a million dollars.
You choose a door. It is not opened; rather, the gameshow host reveals one of the empty doors (even if you have chosen an empty door, there is still yet another empty door).
So now you have 2 doors remaining. The one you chose, and the other door. One of them has the million dollars. You don't know which.
You can either stay with the door you chose, or switch doors to the other remaining one. Probability dictates that the door you've originally chosen was picked when you had a 1/3 chance of being the million dollar door.
Now, when you can choose between the 2 remaining doors, the other door has a 1/2 chance of being the million dollar door.
So, the door you chose first has a 1/3 chance of being the one. The other door has a 1/2 chance.
You choose the other door.
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I'm not sure if that is the same principle as this or not.