Greetings! I'm struggling with a problem of combining Probability Distribution Functions in excel. I've set up a "simple" example to show what I'm looking for. In this example, we have PDFs for a two standard 6-sided dice, a 10-sided die, and a 6-sided die with numbers ranging from 10-15 on each side. I want to come up with a new PDF for rolling all the dice together. The PDF for each d6 die would be 0.167 for each of the numbers 1 to 6 (cells F6:K7). The PDF for the d10 would be 0.1 for each number from 1 to 10 (cells F8:O8). And the d6* would be 0.167 for each of the numbers 10 to 15 (O9:O15). I know how to do the combinations by hand and I've done various combinations in rows 11, 12, and 13. I'm looking for an approach/technique/formula for calculating the new PDF for all the dice combined using the information provided (e.g. referencing cells F5:AA9). Also know that this is a simplified version of the project I am working which involves PERT distributions (not normal or uniform).

Any help you can provide would be appreciated! Thank you!

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