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Consider a roulette with 36 possible outcomes, all of which are equally likely. The rule is...

Consider a roulette with 36 possible outcomes, all of which are equally likely. The rule is that a player places a bet on a single number and if the chosen number wins, the casino returns the player 35 times the amount that was the bet. Otherwise, the casino keeps the bet. (a) A player is planning to place $100 as a bet on a single number. What is the expected profit/loss for this player? Interpret the result. (b) If the player decides to play 10 times, what is the probability that the number of wins in the 10 games equals to 8?

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