An Introduction to Probability Theory and Its Applications, Volume 1

appear applies approximation arrangements assume balls Bernoulli trials binomial calculate called cards cells changes chapter coin conclude conditional consider contains Continuation corresponding defined definition depends derived described distribution elements equals equation event exactly example exist expected experiment finite fixed follows formula four function given hence holds increases independent infinite integer large numbers lead least length limit mathematical means method mutually Note observed obtained occurs origin pairs particle particular passage paths points Poisson population positive possible probability problem proof prove random variables recurrence remains replacement represents respectively result runs sample points sample space sequence side simple solution statistics step success Suppose tends theorem theory tion tossings trials values zero