Agambling book recommends the following "winning strategy"for the
game of roulette. it recommends that a gambler bet $1 onred. if red
appears (which has probablity 18/38), then the gamblershould take
her $1 profit and quit. if the gambler loses this bet(which has
probablity 20/38 of occurring), she should makeadditional $1 bets
on red on each of the next two spins of theroulette wheel and then
quite. let x denote the gambler's winningswhen she quites.

(a) find p{x > 0}.

(b) are you concinved that the strategy is indeed a
"winning"strategy? explain your answer.

(c) find e[x].