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Math Help - need help plz venn diagram

  1. #1
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    need help plz venn diagram

    At an international student parliament held at paris,france a survey was conducted for the students from England, france and germany.
    169 spoke English 99 spoke english and french
    143 spoke french 58 spoke frech and german
    111 spoke german 77 spoke german and english
    35 spoke all the three language
    If a student from a group is chosen at random
    (a) what is the probability that s/he speaks all the three language
    (b)what is the probability that the student is unilingual (speak only one of the three language)
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by gracy View Post
    At an international student parliament held at paris,france a survey was conducted for the students from England, france and germany.
    169 spoke English 99 spoke english and french
    143 spoke french 58 spoke frech and german
    111 spoke german 77 spoke german and english
    35 spoke all the three language
    If a student from a group is chosen at random
    (a) what is the probability that s/he speaks all the three language
    (b)what is the probability that the student is unilingual (speak only one of the three language)
    Of these that spoke E:

    169-99-77+35=28

    spoke only E.

    of these that spoke F

    143-59-99+35=20

    spoke only F

    of those that spoke G

    111-58-77+35=11

    spoke only G.

    99-35=64 spoke only F&E

    58-35=23 spoke only F&G

    77-35=42 spoke only E&G

    Which should be sufficient to answer the question.

    RonL
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  3. #3
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    Hello, Gracy!

    At an international student parliament held at Paris, France,
    a survey was conducted for the students from England, France and Germany.

    169 spoke English
    143 spoke French
    111 spoke German
    99 spoke English and French
    58 spoke French and German
    77 spoke German and English
    35 spoke all the three language

    If a student from a group is chosen at random,
    (a) what is the probability that s/he speaks all three languages
    (b) what is the probability that the student speaks only one of the three languages

    Make a Venn diagram!
    Code:
                * - - - - - - - - *
                | E               |
                |  28 * - - - - - + - - *
                |     |       64  |     |
          * - - + - - + - - *     |     |
          |     | 42  |  35 |     |     |
          |     * - - + - - | - - * 21  |
          |           |  23 |         F |
          |  11       * - - + - - - - - *
          | G               |
          * - - - - - - - - *

    There is a total of 224 students.

    Now answer the questions . . .

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