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Part 1
​Lucia's Diner employs three dishwashers. Shawn washes 20 % of the dishes and breaks only 2 % of those he handles. Hamsa and Xiong each wash 40 % of the​ dishes, and Hamsa breaks only 2 % of​ his, but Xiong breaks 5 % of the dishes he washes. You go to​ Lucia's for supper one night and hear a dish break at the sink.​ What's the probability that Xiong is on the​ job?