Apoll is given, showing 65% are in favor of a new building project. if 4 people are chosen at random, what is the probability that exactly 3 of them favor the new building project? preview

Explanation:

When 4 people are chosen at random, the probability that exactly 3 of them favor the new building project may be thought as four cases:

- the first one is against and the other three are in favor

- the second one is against and the other three are in favor

- the third one is against and the other three are in favor

- the fourth one is against and the other three are in favor.

Each one of those probabilities are equal to:

          ↑                          ↑

      one against          three in favor

Since, there are four equal results: 4 × 0.09611875 = 0.384475

Rounded to 2 significant digits that is 0.38.

quarter quarter quarter quarter

quarter quarter quarter quarter

dime dime dime dime dime dime dime dime dime dime  

dime dime dime                          

that will be $3.30

there is 8 quarters

there is 13 dimes

so there is 5 more dimes than quarters

hope you understood