[填空题]
A group of international studen1b xi *8pkxcez wg8 29dobvu2-ts at a college were sur;q1(w7;bd6xkn- ib/ p ois wddveyed. They were asked which foreign languagepd oxdn wdi bs(;wq/k67;-1ibs they spoke at a conversational level.
The following results were received:
22 spoke Spanish
35 spoke French
5 spoke Chinese
6 spoke Spanish and French
2 spoke French and Chinese
2 spoke Spanish and Chinese
1 spoke Spanish, French and Chinese
2 students spoke Chinese only
7 students did not speak any foreign languages
1. Represent this information on a Venn diagram. Denote with S, F , and
C the sets of students who spoke Spanish, French, and Chinese respectively.
2. Find the number of students who were surveyed.
3. Shade the set S $\cap F \cap C^{\prime}$ .
4. Find $n\left(S \cap F \cap C^{\prime}\right)$ .
5. A student is chosen at random from those surveyed. Calculate the probability that this student spoke
1. Spanish; ≈
2. Chinese, given that this student did not speak French;
3 . at least two foreign languages.≈
6. Two students who were surveyed are chosen at random. Calculate the probability that both students spoke Spanish.≈
