There is an unfair die with unusual numbers on the six faces. If Y = the outcome of one roll of the die, then the probability distribution is given below. Suppose that every time you roll this die, you win the number of dollars equal to the number that appears. There is a catch, of course, and that is you must pay 12 dollars for each roll. In the long run, do you expect to win money, lose money, or break even? Why? If you do any calculations to answer this question, show your work.Y P(Y=y)4 .306 .109 .1011 .1015 .2030 .20There is an unfair die with unusual numbers on the six faces. If Y = the outcome of one roll ofthe die, then the probability distribution is given below. Suppose that every time you roll this…

# Probability distribution

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