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You'll need the full version of Zillions to run these games, which you can get at the Zillions Store.


Game: Picador
 
Created by W. D. Troyka, 2001-03-17

Educational
Solitaire

download 150 K
 
 

Picador is an illustration of a famous logical paradox. The paradox can be described as follows:
 
You are a contestant on a game show. You are asked to select one of three doors. There is a fruitcake behind one of the doors. You really want the fruitcake.
 
You select door no. 2. The host now turns to you and says: "I know where that fruitcake is and I can tell you it's not behind door no. 1." He opens door no. 1 to reveal nothing behind it. "But," he continues, "I'm going to give you the opportunity to change your pick to door no. 3."
 
The question is, should you change your pick to door no. 3?
 
There is a right answer to this question and a wrong answer. If you make the right choice, your odds of finding the fruitcake are two in three. If you make the wrong choice, your odds are one in three.
 
Many people find this result baffling. There are two doors remaining, so the odds must be fifty-fifty that the fruitcake is behind each. But this reasoning is flawed.
 
Picador gives you an opportunity to figure out the correct answer through experiment. You play the game by first selecting the door you think the fruitcake is behind. Zillions will then automatically open one of the other doors, which will always be a door with no fruitcake behind it. You can then keep your original choice or change your pick to the other unopened door. If you find the fruitcake, you score a hit. If you do not, you score a miss.
 
Zillions will tally your hits and misses as you repeat the experiment. The object of the game is to achieve twenty hits before you suffer fifteen misses. If you follow the correct logic, you should normally accomplish this. If you follow the wrong logic, or choose randomly, you will normally lose.
 
A brief history of this paradox is provided in the "History" section that comes with the game. An explanation of the riddle (including the answer) is provided in the "Strategy" section.

 

Download Picador now!
(150 K)

Picador

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