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'Given That' Probability

In a certain city, 50 percent of the people consider themselves conservative (C), 25 percent consider themselves liberal (L), and 25 percent consider themselves to be independent (I). During a particular election, 40 percent of the Conservatives voted, 45 percent of the Liberals voted, and 60 percent of the Independents voted. If a randomly selected person voted, how would I find the probability that the person is (a) Conservative, (b) Liberal, (c) Independent?

Solution Summary

The solution offers a worded explanation of reasoning behind the calculations that are performed in it to find the probability of a person voting for a certain party given that they vote so that the reader may understand the logic and better follow the numbers.