My Math Forum Probability problem - balls in a bag

 August 2nd, 2011, 01:31 AM #1 Newbie   Joined: Mar 2009 Posts: 27 Thanks: 0 Probability problem - balls in a bag ok, the last idea to solve my problem, well let just say it didn't work. so now i have a new idea and it is based on solving the following problem : let say i have blue yellow green, red, brown and black balls in a bag and let say i have 5x in volume bigger while balls. now if i shuffle them up i would like to know what is the probability that a black ball touches the white ball then what is the probability that green and red ball touch each other(in that order, lets presume that the order can be established) and what is the probability that if green ball touches the red ball (preserving the order) that i will have the repeated situation again somewhere in my bag and that that situation will repeat itself x number of times. since i'm not a mathematician and did not solve that much of probability problems i don't know where to look for the similar solution to my particular case. so i'm hoping someone could give me a hint on where a similar problem is solved so i can adapt it to my own particular case. Thank you !!
 August 2nd, 2011, 05:50 AM #2 Senior Member   Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3 Re: Probability problem - balls in a bag That would depend on the size and shape of the bag, the weight of the balls, the stretchiness of the material of the bag, the manner in which the balls were placed in the bag... etc. If this were a real engineering problem, it would be solved by experiment (i.e. at least several hundred trials with the objects in question).
August 6th, 2011, 01:46 PM   #3
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Re: Probability problem - balls in a bag

Quote:
 Originally Posted by baxy7 ok, the last idea to solve my problem, well let just say it didn't work. so now i have a new idea and it is based on solving the following problem : let say i have blue yellow green, red, brown and black balls in a bag and let say i have 5x in volume bigger while balls. now if i shuffle them up i would like to know what is the probability that a black ball touches the white ball then what is the probability that green and red ball touch each other(in that order, lets presume that the order can be established) and what is the probability that if green ball touches the red ball (preserving the order) that i will have the repeated situation again somewhere in my bag and that that situation will repeat itself x number of times. since i'm not a mathematician and did not solve that much of probability problems i don't know where to look for the similar solution to my particular case. so i'm hoping someone could give me a hint on where a similar problem is solved so i can adapt it to my own particular case. Thank you !!
I'm not really sure about how to do this. What do you mean by order? Does this mean that you take two out when they touch?

Because order should be if there are 12 and I select 1 then the next options are 1 in 11 to match with the first from the 12.

so 1 in 12 and then 2 in 11

so 1 has eleven options for the next step because we took it out already.

And I am guessing that this really depends on a lot of factors also, because if you have small balls then there are more touching one ball at a time or if you have really big ones there will be less.

Plus if you shuffle them in a bag that cant stretch like the guy said above, they'd probably move around differently than a bag that can stretch.

This question doesn't make sense and you didn't actually specify how order is a part of it you just said "let's presume it's possible"....

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