OK, I follow your logic that the door I chose is 1/3 and the other is 2/3 *IF* you consider the *WHOLE* game. But I still don't understand why the odds are figured on the whole game and not on the final choice.
Can you explain to me why if I win the "Daily Number" and I bet that same number tomorrow, the odds are still 1/1000. Why is the previous day disregarded in this case?
Wait..I see..If you take the day before into account it is 2/2000 which is 1/1000. Nevermind.