Suppose the probability that a person is a registered Democrat is 0.40, the probability that a person vote is 0.50, and the probability that a person votes given that they are a registered Democrat is 0.35.

Based only on the statement above, what is the probability that a person picked at random is a Democrat and they vote?

Based only on the statement above, what is the probability that a person picked at random is a Democrat or they vote?

Based only on the statement above, what are the events "a person is a Democrat" and "a person votes"?

Based only on the statement above, what are the events "a person is a Democrat" and a person is a republican"?