A gambling book recommends the following “winning strategy” for the game of roulette: Bet $1 on red.

A gambling size recommends the aftercited "winning manoeuvre" for the play of roulette: Bet $1 on red. If red shows (which has chance 18/38), then seize the $1 acquisition and leave. If red does not show and you waste this bet (which has chance 20/38). of occurring). establish joined $1 bets on red on each of the contiguous two spins of the roulette rotate and the leave. Let X delineate your winnings when you leave. (a) Find P{X > 0}. (b) Are you unfailing that the manoeuvre is in-fact a "winning" manoeuvre? Explain your answer! (c) Find E[X].