
Probability and Statistics Basic Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
May 13th, 2014, 02:43 AM  #1 
Newbie Joined: May 2014 From: Germany Posts: 1 Thanks: 0  Probability of selecting balls from buckets
Let's say we have one bucket with n red balls and m green balls. I will select two balls from the bucket but with two different ways. Either one ball at a time or graping them together with one effort. Is the probability of having one red and one green ball the same for the two cases? 
May 13th, 2014, 05:55 AM  #2 
Senior Member Joined: Apr 2014 From: UK Posts: 898 Thanks: 329 
Yes

May 13th, 2014, 01:51 PM  #3 
Senior Member Joined: Nov 2013 From: Baku Posts: 502 Thanks: 56 Math Focus: Geometry 
It might not be. 1. One ball at a time Order matters. RedRed = $\displaystyle \frac{n(n1)}{n+m(n+m1)}$ RedGreen = GreenRed = $\displaystyle \frac{mn}{(n+m)(n+m1)}$ GreenGreen = $\displaystyle \frac{m(m1)}{(n+m)(n+m1)}$ 2. Two Together RedRed = $\displaystyle \frac{n^2}{(n+m)^2}$ GreenGreen = $\displaystyle \frac{m^2}{(n+m)^2}$ RedGreen = $\displaystyle \frac{2mn}{(n+m)^2}$ 

Tags 
balls, buckets, probability, selecting 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Probability of selecting things in certain order  daigo  Probability and Statistics  2  September 20th, 2017 11:13 AM 
Select 5 balls from 12 balls, where some balls are identical  Skyer  Algebra  3  January 6th, 2014 11:26 AM 
From a city population , the probability of selecting i ) a  rsoy  Probability and Statistics  2  October 31st, 2013 11:22 PM 
Probability of selecting things in order Part 2  daigo  Probability and Statistics  5  February 23rd, 2012 09:23 AM 
Prior probability of selecting an alphabet character puzzler  WhatsTheChance  Advanced Statistics  0  October 5th, 2009 03:01 AM 