Roulette wheel will land on a speci?ed color

Reference no: EM131005707

1. Consider a gambler who on each bet either wins 1 with probability 18/38 or loses 1 with probability 20/38. (These are the probabilities if the bet is that a roulette wheel will land on a speci?ed color.) The gambler will quit either when he or she is winning a total of 5 or after 100 plays. What is the probability he or she plays exactly 15 times?

2. Show that

(a) E[XY|Y = y]= yE[X|Y = y]

(b) E[g(X, Y)|Y = y]= E[g(X, y)|Y = y]

Reference no: EM131005707

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