Roll two dice. Each sample (outcome) is an ordered pair of die faces. Now define

Question

Roll two dice. Each sample (outcome) is an ordered pair of die faces. Now define a random variable X which assigns to each sample the total number of dots on the faces of the two dice. Assume that the dice are "loaded" (in other words, not fair) and that for each die the probability of rolling a 1 is 1/4, while the other outcomes for each die are equally probable. (a) What is the probability p(X = 7) with these loaded dice (b) What is the probability of rolling the outcome "snake eyes" (two ones) with these loaded dice? (c) What is the expected value of our random variable X with respect to this unfair distribution?

Explanation / Answer

This source can help you in solving the problem. http://dss.ucsd.edu/~ssaiegh/Slides8.pdf Please rate if it helps :) Cheers!

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