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A cabinet has three drawers. In the first drawer there are 5 gold balls. In the second drawer there are 3 silver balls. In the third drawer there are 3 silver balls and 4 gold balls. An experiment consists of choosing a drawer, and then choosing a ball inside it. Each drawer is equally likely to be chosen, and within each drawer, each ball is equally likely to be chosen. For example, P(A gold ball is chosen | Drawer 3 is chosen) = 4/7. Given that a gold ball is chosen, what is the probability that Drawer 1, the drawer with 5 gold balls, was selected? 0.483 Now what if all the balls are numbered from 1-3 based on which drawer they were in, and then taken from the drawers and placed into a large pile of 15 balls? Each ball in this pile is now equally likely to be chosen, unlike in the previous part. Given that a gold ball is chosen, what is the probability that the gold ball has the number 1 on it, so that it came from the drawer with 5 gold balls? 5/12

A cabinet has three drawers. In the first drawer there are 5 gold balls. In the second drawer there are 3 silver balls. In the third drawer there are 3 silver balls and 4 gold balls. An experiment consists of choosing a drawer, and then choosing a ball inside it. Each drawer is equally likely to be chosen, and within each drawer, each ball is equally likely to be chosen. For example, P(A gold ball is chosen | Drawer 3 is chosen) = 4/7. Given that a gold ball is chosen, what is the probability that Drawer 1, the drawer with 5 gold balls, was selected? 0.483 Now what if all the balls are numbered from 1-3 based on which drawer they were in, and then taken from the drawers and placed into a large pile of 15 balls? Each ball in this pile is now equally likely to be chosen, unlike in the previous part. Given that a gold ball is chosen, what is the probability that the gold ball has the number 1 on it, so that it came from the drawer with 5 gold balls? 5/12

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A cabinet has three drawers. In the first drawer there are 5 gold balls. In the second drawer there are 3 silver balls. In the third drawer there are 3 silver balls and 4 gold balls. An experiment consists of choosing a drawer, and then choosing a ball inside it. Each drawer is equally likely to be chosen, and within each drawer, each ball is equally likely to be chosen. For example, P(A gold ball is chosen | Drawer 3 is chosen) = 4/7. Given that a gold ball is chosen, what is the probability that Drawer 1, the drawer with 5 gold balls, was selected? 0.483 Now what if all the balls are numbered from 1-3 based on which drawer they were in, and then taken from the drawers and placed into a large pile of 15 balls? Each ball in this pile is now equally likely to be chosen, unlike in the previous part. Given that a gold ball is chosen, what is the probability that the gold ball has the number 1 on it, so that it came from the drawer with 5 gold balls? 5/12
Transcribed Image Text:A cabinet has three drawers. In the first drawer there are 5 gold balls. In the second drawer there are 3 silver balls. In the third drawer there are 3 silver balls and 4 gold balls. An experiment consists of choosing a drawer, and then choosing a ball inside it. Each drawer is equally likely to be chosen, and within each drawer, each ball is equally likely to be chosen. For example, P(A gold ball is chosen | Drawer 3 is chosen) = 4/7. Given that a gold ball is chosen, what is the probability that Drawer 1, the drawer with 5 gold balls, was selected? 0.483 Now what if all the balls are numbered from 1-3 based on which drawer they were in, and then taken from the drawers and placed into a large pile of 15 balls? Each ball in this pile is now equally likely to be chosen, unlike in the previous part. Given that a gold ball is chosen, what is the probability that the gold ball has the number 1 on it, so that it came from the drawer with 5 gold balls? 5/12
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