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

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?

Answer by Boreal(15235) (Show Source): 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

Tables help in these problems a lot.

RELATED QUESTIONS
38 of the students of a class opted for visiting an old age home. 16 students opted for... (answered by macston)

in a class 1/6 student joined sport club.3/5 opted to play table tennis.If 6 students... (answered by richwmiller)

In a class of 35 students, 25 take maths and 29 take literature, 4 of the students take... (answered by richwmiller)

There are 64 students in a class with the students offering at least one of the subjects... (answered by ikleyn)

A survey at a certain school shows that 20% of the students are enrolled in Math, 23% are (answered by richwmiller)

In a class of 40 students, 18 travel to school by bus. What percent of the class is... (answered by richwmiller)

At a certain high school, the respective weights for the following subjects are:... (answered by ankor@dixie-net.com,jim_thompson5910)

in a group of students 50 passed in english 60 passed in maths and 40 passed in both the... (answered by addingup)