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It can handle 20d10 or 25d8 just fine, provided you don't try this by hand or with a wussy calculator. Matlab will probably run either calculation in less than a second. This could be used for 4d6: drop, but it would be a great deal more tedious than without. Essentially, you would have to...

A fast and easy solution I know this thread has been dead for several months, but Frisbeet pointed it out to me, and I thought I'd provide an easy way to accomplish this, without going into the discrete behind it. This works great if you have access to Matlab, a good TI, or some other...