Question

About 1414​% of the population of a large country is nervous around strangersnervous around strangers. If two people are randomly​ selected, what is the probability both are nervous around strangersnervous around strangers​? What is the probability at least one is nervous around strangersnervous around strangers​?

Answer 1

One person being nervous around strangers is assumed independent of other people behaviour. Then, the multiplication rule can be applied as

both nervous = 0.14*0.14 = 0.0196 = 1.96%

one is nervous, one is not nervous = 0.14*(1-0.14) = 0.1204 = 12.04%

At least one nervous = 1.96% + 12.04% = 14%