A recent survey of thousands of Nevada residents showed that 53% of the Nevada residents were born outside of the United States. A curious UNLV student randomly interviews two attendees at a local movie theater. Assuming that all the attendees at the movie theater are Nevada residents and independent of one another, what is the probability that both attendees were born outside of the United States?

You want the probability that two movie-goers are both born outside the US if the probability for each of them is 0.53, and they are independent of one another.

Probability

The probability of two independent events is the product of their individual probabilities. Here, those individual probabilities are 0.53, so ...

P(both born outside the US) = 0.53 × 0.53 = 0.2809

The probability that both attendees were born outside of the United States is 0.2809.

saifmohammad3487 saifmohammad3487 · Answer 2 · 2024-04-23T10:33:48+02:00

The probability that both attendees interviewed at a Nevada movie theater were born outside of the United States is 28.09%.

The question is about calculating the probability that both attendees at a movie theater in Nevada were born outside of the United States.

Given the survey result that 53% of Nevada residents were born outside of the country, we can consider each attendee as an independent event.

Since the probability of one attendee being foreign-born is 0.53, the probability of both being foreign-born is the product of the probabilities of each individual event: 0.53 imes 0.53 = 0.2809, or 28.09%.