Dishwashers. Dan s Diner employs three dishwashers. Al washes 40% of the dishes and breaks only 1% of those he handles. Betty and Chuck each wash 30% of the dishes, and Betty breaks only 1% of hers, but Chuck breaks 3% of the dishes he washes.
(He, of course, will need a new job soon. . . .) You go to Dan s for supper one night and hear a dish break at the sink. What's the probability that Chuck is on the job?