A Pharmaceutical Company Manufacturing a Virus Detection Kit Wants to Determine

A pharmaceutical company manufacturing a virus detection kit wants to determine the probability of a person without the virus receiving a positive text result.It is estimated that the probability of infected potential users of the kit is 10%.According to the company laboratory test results,1 out of 100 viral-free people tested positive (false positive) .On the other hand,1 out of 200 infected people tested negative (false negative) .A person has just used the detection kit manufactured by the company and the results showed they had the virus.What is the probability that the person is infected?

A) 1%
B) 0.9%
C) 0.05%
D) 8.3%
E) 0.056%