Question

it is estimated that 10% of all u.s. citizens have never traveled outside of the state in which they were born. if this is true, and two u.s. citizens were to be selected at random, what are the chances that neither person has traveled outside of their own birth state? 0.1% 0.5% 1.0% 5.0% 10.0%

Explanation:

Step1: Use probability formula for independent events.

The probability that a single U.S. - citizen has traveled outside their state is \(1 - 0.1=0.9\).

Step2: For two independent U.S. - citizens, multiply the probabilities.

The probability that both have traveled outside their state is \(0.9\times0.9 = 0.81\).

Answer:

81.0% (not in the given options, but calculated as above)