Suppose that an ordinary deck of 52 playing cards will be randomly ordered, and then the cards will be flipped over and observed, one after another. Letting X be the number of cards observed prior to observing a black ace, give the value of Var(X).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 23E
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Suppose that an ordinary deck of 52 playing cards will be randomly ordered, and then the cards will be flipped over and observed, one after another. Letting X be the number of cards observed prior to observing a black ace, give the value of Var(X).

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