ArcSmart home renovation offers three different categories of roofing tiles: Stone, Clay, and Ceramic. They guarantee the highest customer satisfaction and claim that every batch of tiles produced is tested for its longevity. For every batch of 70 Stone tiles, 48 passes, 5 breaks, and the rest are sent to be refurbished. For every batch of 55 Clay tiles, 25 passes, 11 fails, and the rest are refurbished. And for every 60 Ceramic tiles, 43 passes, 7 fails, and the rest are refurbished. The sales record of ArcSmart shows that 47%,22%, and 31% of their orders are for Stone, Clay, and Ceramic tiles respectively. A tile was randomly selected from the order and separately tested four times, two of which failed. What is the probability that the tile was made of ceramic?

ArcSmart home renovation offers three different categories of roofing tiles: Stone, Clay, and Ceramic. They guarantee the highest customer satisfaction and claim that every batch of tiles produced is tested for its longevity. For every batch of 70 Stone tiles, 48 passes, 5 breaks, and the rest are sent to be refurbished. For every batch of 55 Clay tiles, 25 passes, 11 fails, and the rest are refurbished. And for every 60 Ceramic tiles, 43 passes, 7 fails, and the rest are refurbished. The sales record of ArcSmart shows that 47%,22%, and 31% of their orders are for Stone, Clay, and Ceramic tiles respectively. A tile was randomly selected from the order and separately tested four times, two of which failed. What is the probability that the tile was made of ceramic?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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