About 16 of the population of a large country is hopelessly

About 16% of the population of a large country is hopelessly romantic.

a. If two people are randomly selected, what is the probability both people are hopelessly romantic? ____

b. What is the probability that at least one is hopelessly romantic?____

Solution

a) P( both hopelessly romantc) = 0.16*0.16 = 0.0256 (ans)

P(at least 1) = 1 - P(no pne is hopelesssly romanitc)

                 = 1 - 0.84*0.84 = 0.2944(ans)