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    Dice probability with limited reroll

    Hello, I'm having difficulty understanding this problem and I was wondering if someone had an answer. Let n = \text{Number of dice} = 3 p_s = \text{Single die success probability (when the face is 3 or more)} = \frac{1}{2} k = \text{Number of successful die} \in 0, 1, 2, 3 P(n, k...