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Robert likes chocolate milk, so he decides to visit the milk bottling plant every day for a week to get the free samples. Unfortunately for

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Robert likes chocolate milk, so he decides to visit the milk bottling plant every day for a week to get the free samples. Unfortunately for him, the bottling plant sometimes bottles regular milk instead of chocolate milk, so each day the plant has a 2/3 chance of bottling chocolate milk. What is the probability that the bottling plant bottles chocolate milk exactly 4 of the 5 days he visits?

Jeff123  Oct 12, 2017
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#1
+79819
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This is a binomial probability and is given by

C(5,4) (2/3)^4 (1/3)  = 80 /243  ≈ 32.9%

CPhill  Oct 12, 2017
#2
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Thanks!

Jeff123  Oct 12, 2017

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