All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Probability
Black and Blue Transaction (Posted on 2010-02-14) Difficulty: 3 of 5
From bag A containing 4 black and 8 blue marbles, 6 marbles are transferred into an empty bag B. Three marbles are now drawn from bag B, and each of them happens to be black.

Determine the probability that a fourth marble drawn from bag B will be black, given that:

(I) The first three marbles are returned to bag B.

(II) None of the first three marbles is returned to bag B.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re: solution Comment 2 of 2 |
(In reply to solution by Charlie)

Charlie. I've been trying to match your solution to this problem with a Monte Carlo approach, but with limited success.
Forgive me if I'm wrong, but the second part of your formula for the 'overall a priori probability..' seems to relate to 4 balls being drawn rather than 3.
  Posted by Harry on 2010-02-16 15:38:55

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information