You Pay $10 and roll a die. If you got a 6 then you win $50. If not then you get to roll again. If you get a 6 this time, you get your money back.

a. Create a probabily model for this game.

b. Find the expected value and the standard deviation of your prospective winnings.

c. you play this game five times find the expected value and the starndard deviation of your average winnings.

d. 100 people play this game whats the probability of the person running the game make the profit.