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About 18% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic?

Respuesta :

Answer:

0.0324

Step-by-step explanation:

Let A = hopelessly romantic

P(A) = 18% = 0.18

Since, the population is large, therefore picking 2 people without replacement is considered independent.

Picking 2 people that both are hopelessly romantic = P(A U A)

P(A U A) = P(A) × P(A)

              = 0.18 × 0.18

              = 0.0324

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