For this question, assume that MIN is playing randomly $($with a uniform distribution$)$ at every turn, and MAX knows this. Which of the following statements are true?

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Choice $1$ of $3$:There exists a policy for MAX such that MAX can guarantee a better outcome than

$$

M$.$

Choice $2$ of $3$:To maximize his or her expected outcome, MAX should play according to the minimax strategy $($i$.$e$.$ the strategy that assumes MIN is playing optimally$).$

Choice $3$ of $3$:There exists a policy for MAX such that MAX's expected outcome is better than

$$

M$.$