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A computer program is tested by 3 independent tests. when there is error , these test...

A computer program is tested by 3 independent tests. when there is error , these test will discover it will 0.1,0.5,0.4, respectively. Suppose that the program contains error . what is the probability that it will be found by at least one of the three tests.

Math   Statistics-And-Probability   
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Answer #1

It is given that a computer program is tested by 3 independent tests. When there is error, these tests will discover it with probabilities 0.1, 0.5 and 0.4 respectively. Supposing that the program contains error, we have to find the probability that it will be found by at least one of the three tests.

Let A be the error found by first test. Let B be the error found by second test and let C be the error found by third test.

Thus, the probability that it will be found by at least one of the three tests = 0.73 .

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