7. 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?

Question

Social Studies

Alivia Pace

31 August, 16:57

7. 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?

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Answers (1)

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Haylie Osborne · Answer 1

If a family is selected at random, the probability that this family does not get news from either TV or from local paper = 6% or 6/100

Explanation:

From the given dа ta:

The total number = 100

Families that got their news from TV = 60

Families that got their news from local paper = 54

Families that got their news from both TV and local paper = 20

The probability that family does not use any one of these sources for the news = 1 - probability of the event

If a family is selected at random, the probability that this family does not use any one of these sources for the news = 1 - (The probability that a selected family get news from either TV or from local paper)

If a family is selected at random, the probability that this family does not use any one of these sources for the news = 1 - (60/100 + 54/100 - 20/100)

= 1 - (94/100)

= 1 - 0.94

=0.06

If a family is selected at random, the probability that this family does not get news from either TV or from local paper = 6% or 6/100