42. New game. You pay $10 and roll a die. If you get a

Chapter 18, Problem 42

(choose chapter or problem)

42. New game. You pay $10 and roll a die. If you get a 6,you win $50. If not, you get to roll again. If you get a 6this time, you get your $10 back.a) Create a probability model for this game.b) Find the expected value and standard deviation ofyour prospective winnings.c) You play this game five times. Find the expected valueand standard deviation of your average winnings.d) 100 people play this game. Whats the probability theperson running the game makes a profit?

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