This Venn diagram shows the makeup of attendees at a college social event sponso

Question

This Venn diagram shows the makeup of attendees at a college social event sponsored by the French Club. The event is open to all students. There are 35 students at the party who are fluent in French. There are 50 students at the party who are fluent in English. There are 130 students at the party. Use the Venn diagram and given information to find the probability that a student selected at random is fluent in both French and English. Assume the chance of being selected is the same for each student. Express your answer as a percentage rounded to one decimal place.

Explanation / Answer

There are 35 students fluent in french and 50 students fluent in english but as per the venn diagram only 13 are fluent in french and 28 in english.

This means 22 are fluent in both.

Total students = 130

Required probability = 22 / 130

= 0.169

= 16.9%

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