perplexus.info :: Probability : Pick a box!

Pick a box! (Posted on 2002-03-28)

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)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Explanation to Puzzle Answer	K Sengupta	2022-06-27 23:51:58
Puzzle Answer	K Sengupta	2022-06-27 00:05:02
Alternate explanation of the solution	tomarken	2009-03-25 11:53:52
Two Solutions	owl	2005-08-17 14:36:31
Solution	Stephen Ticsay	2005-04-16 04:08:18
re: Cool analogy	yocko	2005-03-08 07:38:34
6/9	Bractals	2005-03-08 07:12:10
Agree with solution? Problem simplified?	john	2005-03-07 17:11:43
re: Cool analogy	john	2005-03-07 16:52:33
Cool analogy	Tristan	2005-03-04 03:01:28
re: Flat out wrong logic in solution.	Tristan	2005-03-03 22:20:52
Flat out wrong logic in solution.	john	2005-03-03 18:15:56
re(4): YES! ~33/66! All possibilites shown!	Dustin	2005-03-03 00:15:47
re(3): NO! 50/50! All possibilites shown!	Tristan	2005-03-02 23:31:06
re(2): NO! 50/50! All possibilites shown!	john	2005-03-02 21:03:49
Disagree with solution!	john	2005-03-02 16:18:09
re(3): YES! ~33/66! All possibilites shown!	john	2005-03-02 16:08:25
re(2): YES! ~33/66! All possibilites shown!	Dustin	2005-03-01 17:42:05
re: NO! 50/50! All possibilites shown!	Dustin	2005-03-01 17:30:30
re: NO! 50/50! All possibilites shown!	john	2005-03-01 17:24:54
NO! 50/50! All possibilites shown!	john	2005-03-01 17:09:37
re: kinda easy	john	2005-03-01 16:21:47
re:	owl	2004-12-11 05:46:49
No Subject	Iain	2004-05-09 14:24:09
No Subject	logischer Verstand	2004-05-02 20:53:08
maybe	Billy Bob	2004-03-28 10:29:41
kinda easy	omar	2004-02-21 15:31:40
No Subject	Cory Taylor	2002-12-17 10:17:09
re: hmmm	levik	2002-11-06 10:14:07
hmmm	danny	2002-11-05 11:35:50
Come on guys!	Arcus	2002-10-29 09:25:40
re: 50% vs 67%	levik	2002-10-17 09:01:31
50% vs 67%	Jim Lyon	2002-10-16 13:08:30
re: Why 50% is not the answer.	levik	2002-08-15 10:16:15
Hey	Dulanjana	2002-08-14 20:55:02
Why 50% is not the answer.	Paul	2002-08-14 11:14:20
50% is the ONLY answer.	Mike	2002-05-10 15:32:06
Math vs. Puzzles	Chris	2002-05-07 04:50:40
More info	John	2002-05-01 06:46:13
More info to Re: No	John	2002-05-01 06:44:48
Re: No	John	2002-05-01 06:43:30
No	D Willson	2002-04-23 22:19:13

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