Question

In one town, 30% of all voters are Democrats. Assume that the residents of this town vote independently. If two voters are randomly selected for a survey, find the probability that they are both Democrats.

Answer 1

We can solve this using probability multiplication rule, which states that the probability of two independent events occurring together is the product of their individual probabilities.

Here, the probability that the first voter selected is a democrat is 0.3. Since the selection of the first voter does not affect the probability of the second voter being a democrat, the probability that the second voter selected is also a democrat is also 0.3.

Therefore, the probability that both voters selected are democrats is:

0.3 x 0.3 = 0.09

So, the probability that two voters randomly selected in this town are both democrats is 0.09 or 9%.

Explanation: