
Advanced Statistics Advanced Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
March 17th, 2014, 09:57 AM  #1 
Senior Member Joined: Oct 2013 From: New York, USA Posts: 561 Thanks: 79  Probability Question With Four Containers Of Marbles
There are four containers of marbles. Each container has exactly 1 white marble and however many black marbles are necessary so that the containers have 2, 3, 4, and 5 total marbles. The object is to pick all the white marbles while picking as few black marbles as possible. You stop picking from a container once you get the white marble from it. The marbles are picked without replacement. 1. What is the expected number of black marbles picked before all 4 white marbles are picked? 2. What is the probability of each number of black marbles from 0 to 10 being picked before all 4 white marbles are picked? For 0 black marbles it would be (1/2)(1/3)(1/4)(1/5) = 1/120 and that should be the probability for 10 black marbles also. I think the probabilities should be the same because the probability of the white marble being picked first from each container should equal the probability of the white marble being picked last from each container. I want to calculate the probability of winning a game. For each number of black marbles, I know the probability of winning, so I want to know the probability of picking each number of black marbles. 
March 19th, 2014, 06:55 AM  #2 
Senior Member Joined: Oct 2013 From: New York, USA Posts: 561 Thanks: 79  Re: Probability Question With Four Containers Of Marbles
I wrote out all the permutations and solved it myself.


Tags 
containers, marbles, probability, question 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Marbles  shunya  Algebra  8  March 6th, 2014 05:35 PM 
Am I losing my marbles?  mathkid  Calculus  2  November 18th, 2012 08:54 PM 
Probability, marbles  Ataloss  Advanced Statistics  3  March 24th, 2012 12:55 PM 
Probability question  Pixel  Advanced Statistics  18  March 2nd, 2010 01:44 PM 
Marbles  Soha  Algebra  3  January 2nd, 2007 02:16 PM 