please help! thanks!
A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 205 like rock, 158 like country, and 120 like jazz. Moreover, 25 like rock and country, 27 like rock and jazz, 20 like country and jazz, and 7 like all three types of music. What is the probability that a radomly selected student likes jazz or country but not rock? Note: A Venn diagram may be useful here.
a) 0.254
b) 0.516
c) 0.290
d) 0.426
e) 0.400
f) None of the above.
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