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    Probabilities : Marginals

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    A bag contains r balls, of which 2 are red and r - 2 are black. We draw a ball at random, we write down its color, and we put it to one side (not back in the bag). We repeat the procedure r times.
    Let X be the number of draws needed to obtain a red ball, and let Y be the number of draws needed to obtain a second red ball.
    a. Find the probability law of the vector (X,Y) , and find its marginals.
    b. Evaluate Cov(X,Y) .

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    A bag contains balls, of which 2 are red and are black. We draw a ball at random, we write down its colour, and we put it to one side (not back in the bag). We repeat the procedure r times.
    Let X be the number of draws needed to obtain a red ...

    Solution Summary

    Probailities are calculated using appropriate tables and calculations. The solution is detailed.

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