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Math Help - need help plz venn diagram

  1. #1
    Junior Member
    Joined
    Oct 2006
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    need help plz venn diagram

    Fifty students in an Ottawa school were interviewed with the following results: 45 spoke French, 10 spoke Chinese, and 8 spoke both languages. (All 50 students spoke English.) Find the probability that a randomly selected student from this group:
    a) speaks both French and Chinese;
    b) speaks neither French nor Chinese (only English);
    c) speaks only one of French or Chinese (along with English)

    a)
    A= peoplewho speak french
    B= people who speak Chinese
    C = people who speak english
    P(AB) = 8/50 =0.16

    b) 1- 45/50 - 10/50-8/50
    1-27/50
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  2. #2
    Junior Member
    Joined
    Oct 2006
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    Drawing a venn diagram helps with these problems.

    a) Your answer is correct.
    b) P(A'andB')= 1-(P(A)+P(B)-P(AandB))= 1-(45/50+10/50-8/50)= 1-(47/50)= 3/50= .06
    c) P(A)+P(B)-2P(AandB)= 45/50+10/50-2(8/50)= 39/50= .78
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