The test to determine the presence of a certain virus in a pigeon is 97% accurate for a pigeon that has the virus and 99% accurate for a pigeon that does not have the virus. In a given population, 1.5% of the pigeons are infected. Do not round your answer.
The probability that a randomly selected pigeon gets an incorrect result is

Step-by-step explanation:

1.5% pigeons are infected and inaccuracy of the test is 1-97% = 3% and the rest of 1-1.5% = 98.5% pigeons people are un-infected and inaccuracy of test for that is 1-99% = 1% .

0.03 and 0.01 are the probability of an error being made in infected and un-infected respectively while probability of infected and un-infected are 0.015 and 0.985 respectively.

So the probability of a randomly chosen person gets an incorrect result is

= 0.03*0.015 + 0.985*0.01

=  0.0103