In: Statistics and Probability
Roulette wheels have 38 numbers (1 through 36 plus 0 and 00) of which 18 are red, 18 are black, and the 0 and 00 are green. A bettor may place a $1 bet on any one of the 38 numbers. The bettor wins $35 (bettor gets his $1 back) if the ball lands on his number, otherwise he loses his bet.
a) Find the expected value of the game.
b) What is wrong about how the casino pays a winner if they bet on a single number?