The Breakroom > The Water Cooler
Bit of a maths puzzle
mklotz:
Andyf nailed it right off the bat.
The most concise description of the solution I've found goes like this...
Switching loses if and only if the player initially picks the car, which happens with probability 1/3, so switching must win with probability 2/3
raynerd:
Yes, they are both good but I was really blown away with the string around the Earth version. And when I calculated that you could pretty much fit a Bunny Rabbit under it at any point never mind a razor blade I couldn`t get it in my head. Of course I realise now but it certainly doesn`t feel right!
Chris
ksor:
Here is another one - a little like the "string/earth" problem.
1) You have a ball
2) You drill a hole through the center of that ball (= the center line of the hole goes through the center of the ball - not easy in real life but ... )
3) This hole turns out to be 6 cm long
How much is left of the ball ? :doh:
No tricks - just pure math !
John Hill:
Rather good for children but some adults get confused too!
"Three guys walk into a cheap hotel and ask to stay the night, the clerk says they will have to share and the room is $30, so they each pay $10 and up they. The manager was listening from his office and came out to chew a strip off the clerk. The room is only $25 and the clerk was to take the change to the room and not do that again. On the way upstairs the clerk decides it is too hard to divide $5 by 3 so he just gives each man one dollar and keeps the other two dollars for himself.
Now then, each man paid ten dollars and got one dollar back, so nine dollars each, three nines is twenty seven and the two dollars in the clerk's pocket makes twenty nine so what happened to the missing dollar?"
ksor:
Yeah - it's confusing !
I think the solution is something like:
When you leave out the 3X1$ of the change money to get the 9$ each payed, you can't "add in" the 2$ - you have to leave them out too.
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