A number of students were asked if they have taken Acting (A), Biology (B) or Chemistry (C). Study the Venn diagram below and use it to answer the following questions.

1. How many students were surveyed? Students

For the following questions, Leave your answers EITHER as anun-simplified fraction ( e.g. 4/16 is un-simplified)ORsimplified fraction ( e.g. 4/16 = 1/4 when simplified)OR a decimal rounded to FOUR decimal places. Also do not forget to enter your leading zero when entering decimals.

CAUTION: FOLLOW ROUNDING RULES CAREFULLY. YOU WILL NOT EARN CREDIT FOR ANSWERS ROUNDED INCORRECTLY.

2. P (A) =

3. P (B) =

4. P (C) =

5. P (Acting only) =

6. P (Biology only) =

7. P (Chemistry only) =

8. P (Acting and Biology only) =

9. P (Acting and Chemistry only) =

10. P (Chemistry and Biology only) =

11. P (Acting and Biology and Chemistry) =

12. P (Acting or Biology) =

13. P (Acting or Chemistry) =

14. P (Chemistry or Biology) =

15. P (Acting or Biology or Chemistry) =

16. P (Neither Acting nor Biology nor Chemistry) =

17. P(Exactly two subjects) =

18. P(At least two subjects) =