The Blue Bottle Diner employs three dishwashers. Al washes 40% of the dishes and breaks only 1% of those he handles. Debra and Carl each wash 30% of the dishes, and Debra only breaks 1% of hers, but Carl breaks 3% of the dishes he washes. (Carl, of course, will need a new job soon.) a.) Draw a tree diagram to model this chance process. b.) Find the probability that a randomly selected dish is broken. c.) You go to The Blue Bottle for lunch one day. Given that you hear a dish break at the sink, what is the probability that Carl broke the dish?

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9.) The Blue Bottle Diner employs three dishwashers. Al washes 40% of the dishes and breaks
only 1% of those he handles. Debra and Carl each wash 30% of the dishes, and Debra only
breaks 1% of hers, but Carl breaks 3% of the dishes he washes. (Carl, of course, will need a new
job soon.)
a.) Draw a tree diagram to model this chance process.
b.) Find the probability that a randomly selected dish is broken.
c.) You go to The Blue Bottle for lunch one day. Given that you hear a dish break at the sink,
what is the probability that Carl broke the dish?

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