What is the probability that Barbara selects a gold ball? If Barbara selects a ball from Box 1, what is the probability that that ball will be gold? If Barbara selects a gold ball, what is the probability that it came from Box 1?
What is the probability that Barbara selects a gold ball? If Barbara selects a ball from Box 1, what is the probability that that ball will be gold? If Barbara selects a gold ball, what is the probability that it came from Box 1?
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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![Barbara has three boxes. She's a computer scientist, so she numbers her boxes starting with 0.
• Box 0 contains 3 maroon balls and 7 gold balls.
• Box 1 contains 3 maroon balls and 7 gold balls.
• Box 2 contains 5 maroon balls and 1 gold balls.
Suppose that Barbara selects a ball by first flipping two fair coins. If she gets 0 heads, she chooses box 0. If she gets 1 head,
she choose box 1. If she gets 2 heads, she chooses box 2. Once she has selected a box, she draws one ball out of the box
(each ball equally likely to be drawn).
What is the probability that Barbara selects a gold ball?
If Barbara selects a ball from Box 1, what is the probability that that ball will be gold?
If Barbara selects a gold ball, what is the probability that it came from Box 1?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9134c255-a2be-4530-8da1-a6d66778d97d%2F17e38138-71e1-4dc2-8b88-07a191aa5068%2F1agzvda_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Barbara has three boxes. She's a computer scientist, so she numbers her boxes starting with 0.
• Box 0 contains 3 maroon balls and 7 gold balls.
• Box 1 contains 3 maroon balls and 7 gold balls.
• Box 2 contains 5 maroon balls and 1 gold balls.
Suppose that Barbara selects a ball by first flipping two fair coins. If she gets 0 heads, she chooses box 0. If she gets 1 head,
she choose box 1. If she gets 2 heads, she chooses box 2. Once she has selected a box, she draws one ball out of the box
(each ball equally likely to be drawn).
What is the probability that Barbara selects a gold ball?
If Barbara selects a ball from Box 1, what is the probability that that ball will be gold?
If Barbara selects a gold ball, what is the probability that it came from Box 1?
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