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November 14th, 2012, 11:45 AM  #1 
Joined: Sep 2012 Posts: 3 Thanks: 0  Discrete Bivariate Random Vectors
Consider the experiment of rolling two tetrahedra that are unfair in the sense that each has the following probabilities for each of the four faces: P{1 dot}=1/10 P{2 dots}=2/10 P{3 dots}=3/10 P{4 dots}=4/10 Let X be the total of the outcomes in the two tetrahedra and Y be the absolute difference between their outcomes. Obtain the joint probability mass function of (X,Y). So I am confused on how to do the probabilities since it is a biased experiment. My professor taught us how to do it for two fair tetrahedra but when I do the same method except with the biased probabilities I can't seem to get anything right. How exactly do you do this? 
November 14th, 2012, 01:18 PM  #2 
Global Moderator Joined: May 2007 Posts: 5,133 Thanks: 297  Re: Discrete Bivariate Random Vectors
Since there are only eight possible outcomes, why not list them all with their probabilities?


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bivariate, discrete, random, vectors 
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