Question

About 1919​% 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

Probability that a person is math phobic = 19% = 19/100
a) the probability that both are nervous around strangers

P (A)
= 19/100 * 19/100
= 361/10000
= 0.0361

b) The probability that both are not nervous around strangers

P (B) = 81/100 * 81/100
= 0.6561

The probability that at least one person is nervous around strangers i.e. P'(B) = 1 - P(B)
= 1 - 0.651
= 0.3439