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Tossing dice. Consider the experiment of tossing a pair of dice. Let X be the outcome (i. e. , the
number of dots appearing face up) on the first die and let Y be the outcome on the second die.
Find the joint probability distribution p(x, y). Find the marginal probability distributions p1(x)
and p2(y). Find the conditional probability distributions p1(x | y) and p2(yx).
Solution

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Tossing dice. Consider the experiment of tossing a pair of dice. Let .pdf

  • 1. Tossing dice. Consider the experiment of tossing a pair of dice. Let X be the outcome (i. e. , the number of dots appearing face up) on the first die and let Y be the outcome on the second die. Find the joint probability distribution p(x, y). Find the marginal probability distributions p1(x) and p2(y). Find the conditional probability distributions p1(x | y) and p2(yx). Solution