SOLUTION: 1. In a certain school, 60% of the students opted to take a class in English literature, and
40% of the students opted to take a class in French literature. When they were asked i
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-> SOLUTION: 1. In a certain school, 60% of the students opted to take a class in English literature, and
40% of the students opted to take a class in French literature. When they were asked i
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Question 971881: 1. In a certain school, 60% of the students opted to take a class in English literature, and
40% of the students opted to take a class in French literature. When they were asked if they
actually enjoyed the course, 55% of the students who took the class in English literature
said yes, and 60% of the students who took the class in French literature said yes.
(a) What is the probability that a randomly selected student enjoyed the class he/she
opted for?
(b) Given that a randomly selected student enjoyed his/her class, what is the probability
that the student took the course in English literature?
(c) What is the probability that a randomly selected student either took English or enjoyed
his/her course?
You can put this solution on YOUR website! 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
