A manufacturing company performs a quality-control analysis on the ceramic tile it produces. Suppose a batch of 15 tiles has 8 defective tiles. If 6 tiles are sampled at random, what is the probability that exactly 1 of the sampled tiles is defective? How many ways can 6 tiles be selected from 15 tiles? ways (Type a whole number.) ***

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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**Quality Control Analysis of Ceramic Tiles**

A manufacturing company performs a quality control analysis on the ceramic tiles it produces. Suppose a batch of 15 tiles has 8 defective tiles. If 6 tiles are sampled at random, what is the probability that exactly 1 of the sampled tiles is defective?

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**Question:**

How many ways can 6 tiles be selected from 15 tiles?

- [ ] ways  
*(Type a whole number.)*

*(This problem involves combinatorial analysis to determine the number of possible ways to select a subset of tiles from the total. Calculating the probability that only one of the tiles selected is defective further involves understanding combinations.)*
Transcribed Image Text:**Quality Control Analysis of Ceramic Tiles** A manufacturing company performs a quality control analysis on the ceramic tiles it produces. Suppose a batch of 15 tiles has 8 defective tiles. If 6 tiles are sampled at random, what is the probability that exactly 1 of the sampled tiles is defective? --- **Question:** How many ways can 6 tiles be selected from 15 tiles? - [ ] ways *(Type a whole number.)* *(This problem involves combinatorial analysis to determine the number of possible ways to select a subset of tiles from the total. Calculating the probability that only one of the tiles selected is defective further involves understanding combinations.)*
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