# need help plz venn diagram

• December 6th 2006, 03:46 AM
gracy
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)
• December 6th 2006, 05:16 AM
CaptainBlack
Quote:

Originally Posted by 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 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
• December 6th 2006, 07:03 AM
Soroban
Hello, Gracy!

Quote:

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 . . .