Of the registered voters in a certain town, 58% are Democrats, 51%favor a school

Question

Of the registered voters in a certain town, 58% are Democrats, 51%favor a school loan, and 37% areDemocrats who favor a school loan. Suppose that a registered voteris selected at random from the town. (a) What is the probability that the person isnot a Democrat and opposes the school loan?

* i did 1-.49=.51 but that is incorrect (a) What is the probability that the person isnot a Democrat and opposes the school loan?

Explanation / Answer

51% who favor a school loan = % of who favor a school loan aredemocrats    +    % of who favor a school loan are nondemocrats    51% = 37% +   x    => x = 14% Now, 42% who are non democrats = % of nondemocrats who favor a school loan + %of nondemocrats who do not favor a school loan    42% = 14% + y => y = 28% , so, the probability that the person is not aDemocrat and opposes the school loan is 0.28 .

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