Solved: In exercise 23 of Section 9.8, let Ck be the event
Chapter 9, Problem 33E(choose chapter or problem)
Problem 33E
In exercise 23 of Section 9.8, let Ck be the event that the gambler has k dollars, wins the next roll of the die, and is eventually ruined, let Dk be the event that the gambler has k dollars, loses the next roll of the die, and is eventually ruined, and let Pn be the probability that the gambler is eventually ruined. Use the probability axioms and the definition of conditional probability to derive the equation
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