"4.20. A gambling book recommends the following ""winning strategy"" for the game of roulette: Bet $1 on red. If red appears (which has 18 ), then take the $1 profit and quit. If red does not appear and you lose this bet (which has probability 20 of occurring), 38 probability 38 make additional $1 bets on red on each of the next two spins of the roulette wheel and then quit. Let X denote your winnings when you quit. a. Find P{X> 0}. b. Are you convinced that the strategy is indeed a ""winning"" strategy? Explain your answer! c. Find E[X"
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