>I was hoping some one could shed some light on the reason this works.
Think of it as a normal range shifted to fit your lower bound. When you use x % y, it forces x to be within the range of 0 to y. This corresponds to rand() % ( high - low + 1 ) , or rand() % 5 . So now you have a number from 0 to 5 (excluding 5), but you really want a number from 6 to 11 (excluding 11). So you add the lowest number in your range, which is 6. This effectively shifts the range to what you want by changing the normal lower bound to the lower bound that you want.
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