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magicjohn2278 Special user Isle of Man UK 544 Posts |
Forty dogs (all male) are placed in a box, yours, "Mr Froggy" is among them.
When the door is opened, one dog will come out at a time. The winner, will be the second dog out. What are the chances of Mr Froggy winning you the prize? |
LobowolfXXX Inner circle La Famiglia 1196 Posts |
1/40th is the intuitive answer (each dog has an equal chance of being the second one out) and the mathematical one, as well. You're essentially betting on two events, so it is proper to multiply the probabilities of those events.
1. That he won't be the first one out. 2. That after another dog DOES come out, he'll be next. You're a huge favorite on 1, and a huge underdog on 2. It's: (39/40) (1/39) = 1/40 which, fortunately, is just what we expected!
"Torture doesn't work" lol
Guess they forgot to tell Bill Buckley. "...as we reason and love, we are able to hope. And hope enables us to resist those things that would enslave us." |
magicjohn2278 Special user Isle of Man UK 544 Posts |
There's no catching you guys out!
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