The veil of ignorance is a thought experiment used to reason about how the social justice system should be designed. In this thought experiment, you are asked to make a design choice from behind a "veil of ignorance", as if you had no knowledge ahead of time of what position you would end up having in that society, i.e. your gender, ethnicity, social status, and income. Suppose you are presented with this scenario before you are born on planet Mars, and you are told that there will be 200 overachieving individuals, 500 highly capable individuals, and 300 mediocre individuals in the society. You are also presented with two design choices to distribute wealth: Choice A claims that overachieving individuals should earn a payoff of $6,000, highly capable individuals should earn a payoff of $2,000 and mediocre individuals should earn a payoff of $2000, and Choice B claims that overachieving individuals should earn a payoff of $4000, highly capable individuals should earn a payoff of $3,000, and mediocre individuals should earn a payoff of $2,000. (A)What is the normalized likelihood of what type of an individual you might be when you are born on Mars? (B) What is your expected payoff for Choice A? (C) What is your expected payoff for Choice B? (D)Which design choice will you make? Explain your choice.