SOLUTION: In a class of 24 students, 18 like hip hop, 12 like R&B and 4 like neither style. What is the probability that a student selected at random from the class likes R&B but not hip hop

Question 767054: In a class of 24 students, 18 like hip hop, 12 like R&B and 4 like neither style. What is the probability that a student selected at random from the class likes R&B but not hip hop?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a class of 24 students, 18 like hip hop, 12 like R&B and 4 like neither style. What is the probability that a student selected at random from the class likes R&B but not hip hop?
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Draw a Venn Diagram as a rectangle with 2 interecting circles
in it.
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# of students:::
in the intersection::: x
in HH but not in the intersection:: 18-x
in RB but not in the intersection:: 12-x
in the area that is not HH and no RB::: 4
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Equation:
x + 18-x + 12-x + 4 = 24
34-24 = x
x = 10
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So "in RB but not in HH" = 12
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P(condition) = 12/24 = 1/2
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Cheers,
Stan H.
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