A box contains 10 Red balls and 5 Blue balls. A person has been assigned to transfer 4 balls at random to a second box one ball at a time. a) What is the probability that all the balls in the 2nd box are all blue balls? b) Given that 2 Red balls have been picked up, what is the probability that the next 2 balls will also be Red? c) What is probability that the sequence of the transferred balls is {Blue, Red, Blue, and Red)?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Question 1
A box contains 10 Red balls and 5 Blue balls. A person has been assigned to transfer 4 balls
at random to a second box one ball at a time.
a) What is the probability that all the balls in the 2nd box are all blue balls?
b) Given that 2 Red balls have been picked up, what is the probability that the next 2
balls will also be Red?
c) What is probability that the sequence of the transferred balls is {Blue, Red, Blue, and
Red}?
Transcribed Image Text:Question 1 A box contains 10 Red balls and 5 Blue balls. A person has been assigned to transfer 4 balls at random to a second box one ball at a time. a) What is the probability that all the balls in the 2nd box are all blue balls? b) Given that 2 Red balls have been picked up, what is the probability that the next 2 balls will also be Red? c) What is probability that the sequence of the transferred balls is {Blue, Red, Blue, and Red}?
d) If the sequence of the transferred ball is {Blue, Blue, Red, and Red}, what is the
probability now? Compare with the answer in (c) - both have 2 blue balls and 2 red
balls. What can you conclude?
Transcribed Image Text:d) If the sequence of the transferred ball is {Blue, Blue, Red, and Red}, what is the probability now? Compare with the answer in (c) - both have 2 blue balls and 2 red balls. What can you conclude?
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