*To*: mathgroup@smc.vnet.net*Subject*: [mg11971] A Monte Carlo Simulation with loop structure*From*: "Daniel Sanders" <dman777@worldnet.att.net>*Date*: Fri, 17 Apr 1998 02:21:19 -0400*Organization*: AT&T WorldNet Services

Hi, I'm learning Mathematica programming in AutoDidactic [mode], and I'm working on conditionals and loop structures. The problem that follows is prototypical, and perhaps I can benefit from seeing some of your solutions. I owe the problem to J. Laurie Snell from his book, "Introduction to Probability". In the early 1600s, Galileo was asked to explain the fact that, although the number of triples of integers from 1 to 6 with sum 9 is the same as the number of such triples with sum 10, when three dice are rolled, a 9 seemed to come up less often a 10 supposedly in the experience of gamblers. Can you suggest native Mathematica code not emulating a procedural language for a Monte Carlo simulation experiment that runs many times keeping track of the proportions of 9s and 10s? Thanks in advance, I'm interested in the looping mechanism. Daniel Sanders