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Answer by Alex Ravsky for The best probability distribution for the game of...

Q1. We can prove your answer to Q1 for small $N$ as follows.Note first that we can replace each number $x$ to hit by $\lceil x\rceil$, nondecreasing the score. Moreover, no number $x$ bigger than...

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The best probability distribution for the game of Number Master

In the game of Number Master, the player controls a number starting with $1$ and hits the other numbers one by one on the road.If the player hits a number smaller or equal to the current controlling...

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