A poll is given, showing 45% are in favor of a new building project.

If 3 people are chosen at random, what is the probability that exactly 1 of them favor the new building project?

The probability is 0.136125

Step-by-step explanation:

45% are in favor of the project, the probability of selecting someone in favor of the project will be 45/100 = 0.45

The probability of selecting someone not in favor of the project = 1 - probability of selecting someone in favor of project = 1-0.45 = 0.55

Now we have 3 people to be chosen at random with exactly one of them favoring the new building project. This means two of them will not favor the building project

Thus the probability here is = the probability of favoring * the probability of not favoring * the probability of not favoring

= 0.45 * 0.55 * 0.55 = 0.136125