Question

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

Answer 1

Answer:

The probability that both tests detect the bacteria is  83.66% ....

Step-by-step explanation:

First test has a probability of giving accurate results = 94% = 0.94

Second test has a probability of giving accurate results = 89% = 0.89

The probability that both tests detect the bacteria is:

Multiply both the probabilities:

=0.94*0.89

= 0.8366

Converting the value into percentage, we get

0.8366*100

= 83.66%

Thus the probability that both tests detect the bacteria is  83.66% ....