Using the example below, the histogram of the pack is some distance from looking like a normalised distribution.
Note the forced lack of a zero which was put in to make the game more interesting, but looks like the resultant distribution has shifted to the right a bit. Not sure it works. The distribution of the sum of the six cards chosen at random has a mean of zero (no surprise) and a standard deviation of 25.25. The histogram looks like based a sample of 100k.
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