Given that the outcome is a green ball, is it more likely than the ball was drawn from Bin 1 than from Bin 2. True O False

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Question 8
We have two bins with coloured balls.
Bin 1 contains 5 red balls and 7 green balls.
Bin 2 contains 2 red balls, 6 green balls, and 2 blue balls.
We pick a bin uniformly at random, and then a ball from the selected bin uniformly at
random.
Answer True or False to the following statement:
Given that the outcome is a green ball, is it more likely than the ball was drawn from
Bin 1 than from Bin 2.
True
False
Question 9
How many strings are there of length 6 over the alphabet {a,b,c} satisfying that
1. No two 'a' are adjacent, and
2. No two 'b' are adjacent, and
3. No two 'c' are adjacent.
The three conditions must all be satisfied.
Give your count as an integer.
Transcribed Image Text:Question 8 We have two bins with coloured balls. Bin 1 contains 5 red balls and 7 green balls. Bin 2 contains 2 red balls, 6 green balls, and 2 blue balls. We pick a bin uniformly at random, and then a ball from the selected bin uniformly at random. Answer True or False to the following statement: Given that the outcome is a green ball, is it more likely than the ball was drawn from Bin 1 than from Bin 2. True False Question 9 How many strings are there of length 6 over the alphabet {a,b,c} satisfying that 1. No two 'a' are adjacent, and 2. No two 'b' are adjacent, and 3. No two 'c' are adjacent. The three conditions must all be satisfied. Give your count as an integer.
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