Now you have the complete specification for our simulation and the necessary knowledge of random numbers to get the job done. Go ahead and take a few minutes to write up the program; I'll wait.
OK, seriously, this is a more complicated program than you've probably attempted so far. You may not even know where to begin. If you're going to make it through with minimal frustration, you'll need a systematic approach.
One proven technique for tackling complex problems is called top-down design. The basic idea is to start with the general problem and try to express a solution in terms of smaller problems. Then each of the smaller problems is attacked in turn using the same technique. Eventually the problems get so small that they are trivial to solve. Then you just put all the pieces back together and, voila, you've got a program.
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