Question 1202671
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About 18​% of the population of a large country is nervous around strangers. 
If two people are randomly​ selected, what is the probability 
(a) what is the probability both are nervous around strangers​? 
(b) What is the probability at least one is nervous around strangers​? 
Assume the events are independent.
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(a)  P = 0.18*0.18 = 0.0324.    <U>ANSWER</U>


(b)  P = 1 - (1-0.18)*(1-0.18) = 1 - 0.82*0.82 = 0.3276.    <U>ANSWER</U>

     Here 1-0.18 = 0.82 is the probability that a randomly selected person is not nervous about strangers.
     and the product 0.82*0.82 is the probability that two randomly selected persons are not nervous about strangers.
     So, the complement  1 - 0.82^2  is the probability that at least one of two is nervous.
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Solved.