I am a rational and risk-averse person, and I have an option of making the following bet: I receive $600 cash, after which I roll a normal 6-sided die. Whatever I roll, I must pay $150 times the value of the roll of the die (so if make the bet and roll a 2, I get $600, then have to pay out $300, thus I win $300 in total).

What if the previous game was rigged, and instead of using a normal die that has a 1-out-of-6 chance for any given roll, the probabilities of each die-roll are as given: 1: 10% 2: 10% 3: 10% 4: 20% 5: 20% 6: 30%

1. What is the total expected value of the rigged version of the bet to me? a) $0 b) $30 c) -$200 c) -30
2. If my goal is to maximize my personal utility, should I accept this rigged version of the game, and does my degree of risk aversion affect whether or not I should accept the bet? a) I should accept the bet; the precise level of my risk aversion does not matter b) I should not accept the bet; the precise level of my risk aversion does not matter c) I should not accept the bet; the precise level of my risk aversion does matter d) There is not enough information to determine whether I should accept the bet or not; the precise level of my risk aversion does matter