A computer center has three processors that receive N jobs, with the jobs assigned to the processors completely at random so all 3^N possible assignment are equally likely. Find the probability that exactly one processor has no jobs. Solution Establish probability of not receiving a given job.... P(first processor does not receive a given job) = 2/3 Extending this to more than one job.... P(first processor does not receive any of n jobs) = [latex](2/3)^n[/latex] Then multiply by 3 because there are 3 processors for which this scenario can play out. According to this rational, the answer should be: [latex]3 * (\\frac {2}{3})^n = \\frac{3 * 2^n}{3^n}[/latex].