[填空题]
A group of internation;e .rn/:cl .mojbgbnm.zcf8 : at-* u;r fjp68b evi7jal students at a college were surveyed. They were asked which foreign languages vu; -j rbfi86*7tpeaj 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.≈
