Question

About 12% of the population of a large country is nervous around strangers. If two people are randomly selected, what is the probability both are nervous around strangers? What is the probability at least one is nervous around strangers? (a) The probability that both will be nervous around strangers is (Round to four decimal places as needed) (b) The probability that at least one person is nervous around strangers is (Round to four decimal places as needed.)

Answer 1

P(nervous) =0.12         

P(not nervous)=0.88

P(both nervous)= 0.12 * 0.12=0.0144

P(both not nervous)= 0.88*0.88=0.7744

P(at least one nervous)= 1- P(both not nervous)= 1-(0.7744*0.7744)= 0.2256