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 Originally Posted by rong
lol, if host chose at random it's still pointless switching.
Yes, however in this case we have some other considerations. 298 boxes opened at random and none of them find the prize which is in the 299th box, the chance of that happening should be abysmal, our intuition tells us. So you're probably already sitting on the prize? Let's calculate
Odds of randomly opening only 298 empty boxes=
298/299 *297/298 *296/297 * ... *3/4 *2/3 *1/2= 1/299
This is a higher chance than your needed 1/300 to bink the prize, so it's still just 50/50.
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