Let's name and conquer. We'll write P(m,n) to mean "the probability of getting m or more with n rolls". For example, the probability of winning the game is P(10,3): the probability of getting 10 or more with 3 rolls.

We'll also use P(n) for "the probability of getting (exactly) n with 1 die". For example, P(3) is the chance of getting a 3 with one roll.

Thinking about the problem a bit, we can... more

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