In one town 52% of all voters are democrats. If two voters are randomly selected for a survey find the probability that they are both democrats

Answer 1

Two voters are a very small percentage of the town's population so we can treat each of the two selections as independent events.

If event A = pick first democrat = 0.52

If event B = pick second democrat = 0.52

Since A and B are independent, P(A and B) = P(A) * P(B) = 0.52 * 0.52 = 0.2704