About 8% of the population of a large country is nervous around strangers. If two people are randomly selected, what is the probability both are nervous around strangers? What is the probability at least one is nervous around strangers?

Answer 1

Probability of 2 or more independent events occurring is found by multiplying the individual events

Assuming replacement, P(both) = .08 * .08

At least one = one or two. Either-or probabilities are found by adding the individual probabilities.

P(one) = .08 * .92

P(both) shown above

Answer 2

0.098

Answer 3

0.0064