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Bean coloring (Posted on 2015-07-13) Difficulty: 4 of 5
Start with a bag containing 5 white beans. Randomly draw one at a time employing the following rule:

If the bean is white, color it black and put it back in the bag;
If the bean is black, keep it out.

What is the probability that at some point there will be a single white bean in the bag?

Generalize to start with N beans.
Does the probability converge, and if so, to what value?

No Solution Yet Submitted by Jer    
Rating: 4.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: SolutionJer2015-07-29 19:11:31
Solutionpuzzlesrfun2015-07-29 13:59:52
SolutionFinal correction of analytical solutionDan Rosen2015-07-16 00:57:58
re(3):Correcting My previous analytical solutionCharlie2015-07-15 21:42:51
re(2):Correcting My previous analytical solutionCharlie2015-07-15 16:39:37
re:Correcting My previous analytical solutionDan Rosen2015-07-15 09:03:13
SolutionFurther exact values using UBASICCharlie2015-07-14 10:42:50
re: Analytical solutionSteve Herman2015-07-14 09:50:54
SolutionAnalytical solutionDan Rosen2015-07-14 04:18:16
re: computer aided solutionCharlie2015-07-13 19:44:27
Solutioncomputer aided solutionCharlie2015-07-13 18:49:13
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