Twenty identical looking packets of white power are such

Chapter 3, Problem 104E

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QUESTION:

Problem 104E

Twenty identical looking packets of white power are such that 15 contain cocaine and 5 do not. Four packets were randomly selected, and the contents were tested and found to contain cocaine. Two additional packets were selected from the remainder and sold by undercover police officers to a single buyer. What is the probability that the 6 packets randomly selected are such that the first 4 all contain cocaine and the 2 sold to the buyer do not?

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QUESTION:

Problem 104E

Twenty identical looking packets of white power are such that 15 contain cocaine and 5 do not. Four packets were randomly selected, and the contents were tested and found to contain cocaine. Two additional packets were selected from the remainder and sold by undercover police officers to a single buyer. What is the probability that the 6 packets randomly selected are such that the first 4 all contain cocaine and the 2 sold to the buyer do not?

ANSWER:

 Solution:

Step 1 of 3:

   The aim is to find the probability that the 6 packets randomly selected are such the first 4 all contain cocaine and the 2 sold to the buyer do not.


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