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Test have the possibility of a inconclusive result in probability 0.08, a positive result in probability 0.02 and a negative result in probability 0.9. 4 tests are performed

What is the probability that two tests will come out negative and one will end with an inconclusive result?

A. 0.2856
B. 0.032
C. 0.1624
D. 0.345

1 Answer

4 votes

Final answer:

The probability that two tests will come out negative and one will end with an inconclusive result is 0.0648.

Step-by-step explanation:

To find the probability that two tests will come out negative and one will end with an inconclusive result, we need to calculate the probability of each event occurring and then multiply them together.

The probability of a negative result is 0.9, so the probability of two negative results is 0.9 * 0.9 = 0.81.

The probability of an inconclusive result is 0.08, so the probability of one inconclusive result is 0.08.

Therefore, the probability that two tests will be negative and one will be inconclusive is 0.81 * 0.08 = 0.0648.

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