About 1313% of the population of a large country is hopelessly romantichopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantichopelessly romantic? What is the probability at least one is hopelessly romantichopelessly romantic?

Probability both are hopelessly romantic = 0.0169

Probability at least one is hopelessly romantic = 0.2431

Step-by-step explanation:

We are given that about 1313% of the population of a large country is hopelessly romantic.

Also, given two people are randomly selected.

Firstly, Let Probability that the population of a large country is hopelessly romantic = P(R) = 0.13

(a) Probability both are hopelessly romantic is given by = Probability that first person is hopelessly romantic Probability that second person is hopelessly romantic

                         =

                         = 0.13 0.13 = 0.0169

(b) Now, Probability that the population of a large country is not hopelessly romantic = P(R') = 1 - P(R) = 1 - 0.13 = 0.87.

So, Probability at least one is hopelessly romantic is given by = 1 - Probability that none of them is hopelessly romantic

                         =

                         = 1 - (0.87 0.87)

                         = 1 - 0.7569 = 0.2431

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: