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Math Help - Venn Diagram Word Question

  1. #1
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    Venn Diagram Word Question

    Rite I will supply what I think is the correct answer and if someone could confirm if this is correct or not I would be extremely grateful. Got a handful of these to do so obv need to know if im on rite track:

    students reported the following facts: (a) 37% played football (b) 12% played basketball and football (c) 48% played neither basketball nor football.

    Deduce the % which played basketball.

    I worked it out to be 12% + 15% = 27%
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  2. #2
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    Quote Originally Posted by rooney View Post
    Rite I will supply what I think is the correct answer and if someone could confirm if this is correct or not I would be extremely grateful. Got a handful of these to do so obv need to know if im on rite track:

    students reported the following facts: (a) 37% played football (b) 12% played basketball and football (c) 48% played neither basketball nor football.

    Deduce the % which played basketball.

    I worked it out to be 12% + 15% = 27%
    I get the same answer, via 52% - 25% = 27%.
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  3. #3
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    [Hello, rooney!

    I too agree with your answer . . .


    Students reported the following facts:
    . . (a) 37% played football
    . . (b) 12% played basketball and football
    . . (c) 48% played neither basketball nor football.

    Deduce the % which played basketball.

    I worked it out to be 12% + 15% = 27% . . . . Yes!

    Since 48% played neither sport,
    . . then 52% played either Football or Basketball (or both).

    I used the formula: . P(F \cup B) \;=\;P(F) + P(B) - P(F \cap B)


    Substitute the known values: . 52\% \;=\;37\% + P(B) - 12\%

    Therefore: . P(B) \:=\:27\%
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