Alonzo, Bob, and Casper work bussing tables at a restaurant. Alonzo has a 35% chance, Bob has a 40% chance, and Casper has a 25% chance of bussing tables in the middle area of the restaurant. If Alonzo is bussing tables, he has a 5% chance of breaking a dish. If Bob is bussing tables, he has a 2% chance of breaking a dish. Finally, if Casper is bussing tables, he has a 4% chance of breaking a dish. If there is a broken dish in the middle of the restaurant, what is the probability it was broken by Casper?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
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Alonzo, Bob, and Casper work bussing tables at a restaurant. Alonzo has a 35% chance, Bob has a 40% chance, and Casper has a 25% chance of bussing tables in the middle area of the restaurant. If Alonzo is bussing tables, he has a 5% chance of breaking a dish. If Bob is bussing tables, he has a 2% chance of breaking a dish. Finally, if Casper is bussing tables, he has a 4% chance of breaking a dish. If there is a broken dish in the middle of the restaurant, what is the probability it was broken by Casper?
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