Probability question

Question

In a large population, 52% of the people have been vaccinated. If three people are randomly selected, what is the probability that at least one of them been vaccinated?

Give your answer as a decimal rounded to three places.

Please show the steps to the solution

Answer 1

You need to find the probability that no one has been vaccinated. That is simply 1-percent that has.

1-.52=.48

probability of none= .48^3=0.111 so probability of 1 is 1-0.111=0.889