SOLUTION: The marketing department of a nationally known cereal maker plans to conduct a national survey to find out whether or not consumers of flake cereals can distinguish one of their fa

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Question 358274: The marketing department of a nationally known cereal maker plans to conduct a national survey to find out whether or not consumers of flake cereals can distinguish one of their favorite flake cereals. To test the questionnaire and procedure to be used, eight persons were asked to cooperate in an experiment. Five very small bowls of flake cereals were placed in front of a person. The bowls were labeled A, B, C, D and E. The person was informed that only one bowl contained his or her favorite flake cereal. Suppose that the eight persons in the experiment were unable to identify their favorite cereal and just guessed which bowl it was in. What is the probability that none of the eight guessed correctly?


Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
The probability that a person answered incorrectly is 
P(1st answered incorrectly AND 2nd answered incorrectly AND 
3rd answered incorrectly AND 4th answered incorrectly AND 
5th answered incorrectly AND 6th answered incorrectly AND 
7th answered incorrectly AND 8th answered incorrectly)

Since "AND" mean to multiply, the above probability is


or  or about .16777216

Edwin
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