Out of 160 students at a first year linguistics stream in college, 87 students study French(F), 17 studentsFrench and Spanish, 50 students study Spanish (S), 15 students study French and Russian, 53 students study Russian (R), 13 students study Spanish and Russian and 5 study all three languages. (a)    Draw a Venn diagram of each set, populate it, and show the universal set.  (b)    What is the probability that a student is only studying Spanish? (c)    What is the probability that the student selected at random isn’t studying any of the 3 languageslisted?

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5.    Out of 160 students at a first year linguistics stream in college, 87 students study French(F), 17 studentsFrench and Spanish, 50 students study Spanish (S), 15 students study French and Russian, 53 students study Russian (R), 13 students study Spanish and Russian and 5 study all three languages.

(a)    Draw a Venn diagram of each set, populate it, and show the universal set. 

(b)    What is the probability that a student is only studying Spanish?

(c)    What is the probability that the student selected at random isn’t studying any of the 3 languageslisted? 

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