A procedure often used to control the quality of name-brand food products utiliz

Question

A procedure often used to control the quality of name-brand food products utilizes a panel of 6 tasters. Each member of the panel tastes 3 samples, 2 of which are from batches of the product known to have the desired taste and the other from the latest batch. Each tester selects the sample that is different from the other two. Assume that the latest batch does have the desired taste, and that there is no communication between the tasters.

A) If the latest batch tastes the same as the other two batches, what is the probability that the tester picks it as the one that is different?

B) What is the probability that exactly three of the tasters picks the latest batch as different? (Round answer three decimal places)

C) What is the probability that at least one of the tasters picks the latest batch is different? (Round answer three decimal places)

Explanation / Answer

FROM THE GIVEN PROBLEM..

THERE ARE 6 TESTERS...AND EACH TESTER HAVING THE 3 SAMPLES..

AND IN THIS 3 SAMPLES 2 IS SAME..ONE IS DIFFERENT..IN SOME CASES ALL ARE SAME TASTE..

TOTAL PROBILITY IS 6 C 3=6*5*4/3*2*1=2O

A)THE PROBILITY OF GETING DIFFERENT IS..1/3/20

1/60

B)THE PROBILITY OF EXACTLY THREE TASTER IS 3/20=0.15

C)THE PROBILITY OF ATLEAT ONE TESTER PICS THE LATESTEST BATCH IS 1/20=0.05

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