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 $\displaystyle 224$ students.

Now answer the questions . . .