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-   -   A Paradox to Solve (https://www.musicbanter.com/lounge/33355-paradox-solve.html)

Fyrenza 09-28-2008 05:49 PM
A Paradox to Solve
 
i thought everyone might enjoy trying their hands at solving a paradox:

Quote:
You're given a choice of three boxes: In one, is a voucher for a car; in the others, vouchers for goats. You pick the first box, but before you open it, you get to open one of the others to see what's inside it, which is a voucher for a goat. At this point, you are allowed to change your mind and take the last box instead of the first one. Is it to your advantage to switch your choice?

simplephysics 09-28-2008 05:52 PM
Goats!!!

Fyrenza 09-28-2008 06:07 PM
well

horses are actually valuable :rofl:

jackhammer 09-28-2008 06:09 PM
I could certainly find more use for a goat: Milk, cheese and meat. BTW never change your choice.

The Unfan 09-28-2008 06:40 PM
Switching improves the odds of winning. Let us assume you pick box 1. The number of the box you picked doesn't matter but it helps explain the reasoning. If you pick another box just swap 1 with the number you chose and you'd get the same result.

If the car is indeed box number 1 than you could reveal either 2 or 3. However if the car is in 2 you have to reveal 3 and if the car is in 3 you have to reveal 2. 2 out of 3 times you had to reveal a specific box, and in those cases the switch is the win. 2 out 3 times you should switch.

RUPERT 09-28-2008 06:46 PM
no advantage



thread locked

Wifey Boozer 09-28-2008 06:53 PM
Quote:
Originally Posted by The Unfan (Post 525251)
Switching improves the odds of winning. Let us assume you pick box 1. The number of the box you picked doesn't matter but it helps explain the reasoning. If you pick another box just swap 1 with the number you chose and you'd get the same result.

If the car is indeed box number 1 than you could reveal either 2 or 3. However if the car is in 2 you have to reveal 3 and if the car is in 3 you have to reveal 2. 2 out of 3 times you had to reveal a specific box, and in those cases the switch is the win. 2 out 3 times you should switch.
I also read Bringing Down The House & seen 21 ;) :clap:

RUPERT 09-28-2008 07:07 PM
THIS IS RIDICULOUS!

OK, SO YOU HAVE 3 BOXES ON A TABLE.

TWO BOXES CONTAIN VOUCHERS FOR DOG****, ONE BOX CONTAINS A VOUCHER FOR A MEDIEVAL CASTLE. (OBVIOUSLY YOU WANT THE FRICKIN MEDIEVAL CASTLE).

SO YOU PICK A BOX AT RANDOM AND YOU CLUTCH IT TIGHTLY TO YOUR CHEST.

YOU ARE THEN GIVEN THE OPTION TO OPEN UP ONE OF THE 2 BOXES ON THE TABLE, (THE TWO THAT YOU DIDN'T PICK), AND SEE WHAT'S INSIDE.

OOH. WELL WHADD'YA KNOW, IT'S A VOUCHER FOR DOG****.

SO NOW YOU'RE LEFT WTH JUST 2 UNOPENED BOXES. ONE UNOPENED BOX IS STILL ON THE TABLE AND ONE UNOPENED BOX IS BEING TIGHTLY CLUTCHED TO YOUR CHEST.

ONE OF THESE BOXES CONTAINS THE CASTLE VOUCHER, AND THE OTHER CONTAINS THE DOG**** VOUCHER.


...HOW CAN THE ODDS OF PICKING THE MEDIEVAL CASTLE BOX BE ANYTHING OTHER THAN 1-IN-2, REGARDLESS OF ANY LAST MINUTE SWITCH??



a

The Unfan 09-28-2008 07:08 PM
Also for a strictly mathematical way to view it. When you pick the door at the start you have a 1/3 chance of being correct. Revealing one of the goats doesn't change the fact that you had a 2/3 chance of being wrong initially and therefore you still have a 2/3 chance of being correct by switching. The information doesn't change the odds.

Wifey Boozer 09-28-2008 07:11 PM
Please admit that analogy is from 21 and I will be psychologically sound for the night.


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