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Inverted Dice

Yes, the answer to
It’s the last round and I only have the number 15 left to score. In my first roll, I get [6] [6] [6] [5] [4]. What should I do?
is that you should reroll all 5 dice instead of keeping the 3 sixes (according to the answer by Jonas above).
But nobody has calculated the exact probabilities, which would require some programming.