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Pick a box! (Posted on 2002-03-28) Difficulty: 3 of 5
You are shown three boxes, and told that one of them contains a prize. You are then asked to pick one box, and if that box is the one with the prize, you will win it. After picking a box, you are shown that one of the other two boxes is empty, and offered a chance to change your selection.

Should you do this? Would changing your choice to the other remaining box affect your odds of winning? Why or why not?

See The Solution Submitted by levik    
Rating: 4.2857 (14 votes)

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Solution 6/9 | Comment 36 of 40 |

Let the boxes be A, B, and C. Look at the following triples:

(Prize In Box,You Pick Box,If You Switch)

(A,A,L)

(A,B,W)

(A,C,W)

(B,A,W)

(B.B,L)

(B,C,W)

(C,A,W)

(C,B,W)

(C,C,L)

If you switch you win 6/9.


  Posted by Bractals on 2005-03-08 07:12:10
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