Probabilities and Venn Diagrams 
        Use the Venn Diagram below about music preferences of students to answer questions #1-5 
                                         	
                                     Rock                               Rap 
                                                       Country 
            1.  How many total people are represented in the diagram? 
            2.  How many people like Country music?    '33 
            3.  If one person is chosen at random, what is the probability that the person will like Rap music? 
                                    q3 
                       P(Rap)= 
            4.  If one person is chosen at random, what is the probability that the person will prefer Country or Rock music? 
                                                              	
                                                    - 	
                       P(Country or Rock)= 	6 2            3/            	
                                                                      01                      7- . 9 `12,, 
            5.  If one person is chosen at random, what is the probability that the person will like Rap and Rock music? 
                       P(Rap and Rock)-                          - 0 , 
                                                          L1 3 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
          Use the following information to fill in the Venn Diagram below: 
          100 students were asked if they liked Math, Science, or Social Studies. Everyone answered that they liked as least one. 
          56 like Math                            18 like Math and Science 
          43 like Science                         10 like Science and Social Studies 
          35 like Social Studies                  12 like Math and Social Studies 
          6 like all three subjects 
                                                                            Science 
                                                               Social Studies 
                                                            9- 0  
                                                      	
              6.  How many people like Math only? 
              7.  How many students like Science only? 9 
              8.  If one person is chosen at random, what is the probability that the person will like Science and Math? 
                           P(Science and Math)=  roa  
              9.  If one person is chosen at random, what is the probability that person will like only Math? 
                           P(Math)-- 	                  o,             2-0 °?,9 
                                       (00  
                  If one person is chosen at random, what is the probability that person will like Science or Social Studies? 
              10. 
                           P(Science or Social Studies)= /4x
                                                               )  
                  If one person is chosen at random, what is the probability that person will NOT like Science? 
              11. 
                                                 347 
                                            	
                           P(Not Science)=       ao                    396:7„ 
                  If one person is chosen at random, what is the probability that person will like Math but not Social Studies? 
              12.                                                                   ,          -  7-  3 
                                                            = 	                     -c2 38
                           P(Math and Not Social Studies) 
                                                                            5 
         A school library classifies its books as hardback or paperback, fiction or nonfiction, and illustrated or non-illustrated. Use 
         the table at the right for Exercises 13-15. 
                                                                      Illustrated        Non-            TOTAL: 
                                                                                      illustrated 
                                                         Fiction         420              770               1190 
                                         Hardback  Nonfiction             590             240               830 
                                                         Fiction          170             350               520 
                                         Paperback  Nonfiction           210              920               1130 
                                          TOTAL:                         1390            2280              3670 
         13. What is the probability that a book selected at random is a paperback, given that it is non-illustrated? 
                                        ra.9-6)                                - 
         14. What is the probability that a book selected at random is nonfiction, given that it is an illustrated hardback? 
                                               5'70                                                C70 
         15. What is the probability that a book selected at random is a Fiction? 
                                                                      	
                                                               17-/                      1166 	
                                                                   6                                                 6`1?