Question: Let a card be selected from an ordinary deck of playing cards. The outcome c is one of these 52 cards. Let X(c) = 4

Let a card be selected from an ordinary deck of playing cards. The outcome c is one of these 52 cards. Let X(c) = 4 if c is an ace, let X(c) = 3 if c is a king, let X(c) = 2 if c is a queen, let X(c) = 1 if c is a jack, and let X(c) = 0 otherwise. Suppose that P assigns a probability of 1/52 to each outcome c. Describe the induced probability PX(D) on the space D = {0, 1, 2, 3, 4} of the random variable X.

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