A local grocery store tested spinach samples for E coli bacteria using two different tests. The first test has a 94% probability of giving accurate results, while the second test is accurate 89% of the time. A sample that contains E coli bacteria is tested. The probability that both tests detect the bacteria is _%
2 answers:
Answer: Probability that both tests detect the bacteria is 83.66%.
Step-by-step explanation:
Since we have given that
Probability of the first test giving accurate results = 84%
Probability of the second test is accurate = 89%
Probability of both tests detect the bacteria is given by
Hence, Probability that both tests detect the bacteria is 83.66%.
The results of the tests are independent. Therefore the probability that both tests detect the bacteria is:
As a percentage we could say 83.66%
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