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with sssoul
another slow day at the balloon factory, eh schillid?
have some popcorn
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Duane in Houston
Of course it's a 50/50 chance you space brain vagabond.
Wrong, Tex.
The odds of your original choice remains at 1 in 3. The sum of other UNOPENED boxes equals 2 in 3. Switching boxes INCREASES the odds to 2 in 3.
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rocks off
Yes, but once one of the boxes is eliminated and you have the choice of re-picking...your odds are now 50 / 50. right?
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schillidQuote
rocks off
Yes, but once one of the boxes is eliminated and you have the choice of re-picking...your odds are now 50 / 50. right?
Wrong.
Suppose Monte shows you 100 boxes instead of three. One box contains the prize, and your choice would obviously have 1 in 100 chance of being correct.
Monte then opens 98 "loser" boxes, one at a time. He leaves two boxes unopened... the box you chose and one mystery box. Do you think it's now 50 / 50? It isn't. The box you picked STILL has 1/100 chance, and that other unopened box has a 99% chance of containing the prize.