Whenever you're ready, walk me through how you'd approach this.
You are offered a game where you win $100 if a die shows a 6, but lose $20 otherwise. Is this a good trade?
Calculate the expected payoff, determine the break-even terms, and quantify the payoff risk using variance and standard deviation. Explain whether the game is attractive for a risk-neutral participant and how the conclusion changes for a risk-averse participant. Assume the die is fair and there is no additional entry fee.