Sum of roll of N dice

[Joe Horn]

(05-02-2018 07:01 AM)Jim Horn Wrote:  If you roll N six sided dice and put them next to each other and write down the values they show *minus 1* each, you'll get an N digit integer in base 6. All such 6^N integers are equally likely for fair dice. So, just find a random number from 0 to (6^N)-1, convert to base 6, add the sum of its digits plus N (to correct the "subtract 1 from each digit") and there you go: the sum of the six rolled dice with only one random number generation.

Of course, converting an integer to base 6 will likely require a loop which can do the running sum of the base 6 integer as it goes (N iterations needed). But still only involves a single random number generation to get all N random dice thrown.

Oh my goodness, that is so cool! Thank you! <scampers off gleefully to code it>

(05-02-2018 10:54 AM)Gamo Wrote:  Our member Michaelzinn already solve this problem by using single Random with DSE Counter function.
Here is the link:
http://www.hpmuseum.org/forum/thread-10451.html

No, that program generates N random numbers and adds them up. That's not what we're looking for here. We're looking for a way to simulate getting the final total by generating only ONE random number. Jim's base 6 idea does that.