Question: A survey of 2000 randomly selected voters before a recent election revealed that 1650 would vote for at least one Democratic candidate, 1665 for at least one Republican candidate and 1525 for at least one Democratic and at least one Republican candidate. Use this information to find the following probabilities.

a) That a randomly selected voter would vote for at least one Republican candidate or at least one Democratic candidate.

b) That two randomly selected voters would vote for at least one Republican candidate.

Assume independence.