The is a probability problem using three set Venn counting processes!?
There are a total of 108 foreign language students in a high school where they offer only Spanish, French, and German.
You are given the following details for this semester:
40 take Spanish.
52 take French.
46 take German.
8 take Spanish and French but not German.
6 take Spanish and German but no French.
8 take French and German but not Spanish.
26 students are taking at least two languages.
What is the probability that a student randomly selected from those taking exactly one language takes French in this semester?
F=French , S=Spanish , G=German ,So:
Let's name x the number of students that
took F and G and S.Then
8+6+8+x=26-->x=4
the number of students that took
exactly one language is 108-26=82
The number of students that took
only F is 52-8-8-4=32
so the propability is 32/82
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