In: Economics
5 members of the Avengers - Captain America, Iron Man, Hulk, Thor and Spider Man - got tested for the coronavirus.
Suppose that their test results are independent of each other. The probability of an Avenger getting a positive result is 20%.
What is the probability that Captain America and Iron Man get negative results, but Hulk, Thor and Spider Man get positive results? (Find the nearest answer.)
a. | 0.244% | |
b. | 0.081% | |
c. | 0.879% | |
d. | 0.011% | |
e. | 0.512% |
Probability of getting negative = 1-20%=80%
Probability that Captain America and Iron Man get negative and rest get positive
= product of (both getting negative)* (rest getting positive)
= 0.8*0.8*0.2*0.2*0.2 = 0.00512 = 0.512%
Therefore (e) is the answer to this question