
Advanced Statistics Advanced Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
December 30th, 2010, 08:30 AM  #1 
Newbie Joined: Dec 2010 Posts: 2 Thanks: 0  Probability of seeing k different colors in sample of size m
Hi all, it would be great if anyone could help me with a particular problem: Imagine an urn with a certain number marbles of different colors. It is known how many marbles of certain color are contained. The question is: If we draw m times from the urn (with placing back), how likely is it, to see k different colors in the sample? And: Which number of different colors is most likely to be observed? I think that the answer to this is not trivial, or at least not easy to compute analytically, and I would be very happy to be proven wrong. Thanks for any help on this, duffy 
December 30th, 2010, 09:39 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 933 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Probability of seeing k different colors in sample of si 
December 30th, 2010, 03:37 PM  #3 
Newbie Joined: Dec 2010 Posts: 2 Thanks: 0  Re: Probability of seeing k different colors in sample of si
Thanks for the link, CRGreathouse. The question answered there is certainly somehow related to mine, but different. They asked how many unique marbles are found in the sample. My question was how many different types of marbles are found in the sample.

December 30th, 2010, 09:40 PM  #4  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 933 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Probability of seeing k different colors in sample of si Quote:
 

Tags 
colors, probability, sample, size 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
sample size  Engr Faisal hbaib  Advanced Statistics  0  November 23rd, 2013 07:25 PM 
Chi Square Sample Size  Aqil  Advanced Statistics  0  March 21st, 2012 01:28 AM 
Sample Size and Std Dev  jskrzy  Algebra  1  November 16th, 2011 05:17 PM 
Sample Size  waza086  Algebra  0  March 21st, 2010 02:54 AM 
Sample Size  symmetry  Advanced Statistics  0  March 30th, 2007 04:09 PM 