<PRE><B>Question 971881</B>
English lit  0.6
0.55 enjoyed it  0.45 did not

French lit 0.40
0.60 enjoyed it 0.40 did not

Randomly enjoyed  0.6*0.55  +  0.4*0.6  =0.57

 ;;;;                 E                       F                   T
 enj              33                    24                 57

not              27                    16                 43

 ;;;;                  60                     40                100

Given they enjoyed (57) prob of English is (33/57)  = 58%
P (E)=0.6 ;; P enjoyed (0.57)  - both   (0.33)=0.84


Tables help in these problems a lot.
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