Your friend rolls an "unusual" six-sided die many times. She reports the probabilities of the possible outcomes are about as follows: Number Rolled: 1 2 3 4 5 6 Probability: 0.20 0.20 0.10 0.10 0.10...

Your friend rolls an "unusual" six-sided die many times. She reports the probabilities of the possible outcomes are about as follows:

(a) Complete the table above by calculating the probability of rolling a 4.

(b) Your friend creates the following game using this "unusual" die. You will pay her $2 if she rolls an even number and she will pay you $3 if she rolls an odd number.Use the table from part (a) to fill in the probability model below:

(c) What is the expected value of this game for you?

(d) Is this a fair game, meaning that each of you can expect to win the same amount in the long run? Explain.