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 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...
icon
Related questions
Question
100%
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 1 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON