A seasonal viral infection due to a virus named RandomV is prevalent in Delhi. About 1 in 1000 people in Delhi
are expected to be infected by RandomV. The virus spreads from an infected person to another person only when
a sufficient amount of viral load is transmitted from the infected person to the other. A test has been designed to
detect the RandomV infection. Among the infected, the test gives a positive result in 90% of them. Among healthy
people (that is those who are free of infection), the test is known to come up with a positive result in 10% of them.
Given the above background about RandomV, solve the following questions.
Question 1. Suppose you go to a gathering of 10 people who have come together from different parts of Delhi
to celebrate Delhi’s history. Derive the following probabilities.
(a) You meet a randomly chosen person in the gathering. What is the probability that the person is infected with
RandomV?
(b) You meet a randomly chosen pair in the gathering. What is the probability that you end up meeting a pair of
infected people?
(c) You meet a randomly chosen pair in the gathering. What is the probability that you end up meeting a pair in
which one or more are infected?
(d) What is the probability that two or more in the gathering of 10 are infected?
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