A gambling book recommends the following winningstrategy

Chapter 4, Problem 4.20

(choose chapter or problem)

A gambling book recommends the following winningstrategy for the game of roulette: Bet $1 onred. If red appearswhich has probability 1838, thentake the $1 profit and quit. If red does not appearand you lose this betwhich has probability 2038 ofoccurring, make additional $1 bets on red on eachof the next two spins of the roulette wheel and thenquit. Let X denote your winnings when you quit.(a) Find P{X > 0}.(b) Are you convinced that the strategy is indeeda winning strategy? Explain your answer!(c) Find E[X].

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