A computing center has 3 processors that receive [math]15[/math] jobs, with the jobs assigned to the processors purely at random so that all of the [math]3^15[/math] possible assignments are equally likely. Find the probability that exactly one processor has no jobs.

References

Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.