SOLUTION: In a certain neighborhood of 100 families, 60 get their news from TV, 54 from the local paper, and 20 from both sources. If a family is selected at random, what is the probability

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Question 1142232: In a certain neighborhood of 100 families, 60 get their news from TV, 54 from the local paper, and 20 from both sources. If a family is selected at random, what is the probability that this family does not use any one of these sources for the news?
Answer by ikleyn(52818) About Me  (Show Source):
You can put this solution on YOUR website!
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The probability that a randomly selected family gets news for one of the two sources is


    P = 60%2F100 + 54%2F100 - 20%2F100 = 94%2F100.


The probability under the question is the COMPLEMENT to it, i.e.


    1 - 94%2F100 = 6%2F100 = 3%2F50 = 6%.    ANSWER