Question

Students traveling to France on a study abroad trip have varying levels of French proficiency. Of the students studying abroad, 5 students are fluent, 6 students are intermediate, and 2 students are beginners. If a single student is picked at random, what is the probability that the student is fluent or a beginner? Provide the final answer as a fraction A=The total number of students is 5+6+2=13. The number that are fluent or beginners is 5+2=7, so the answer is 7/13.

Answer 1

Students travelling to France on a study abroad trip have varying levels of French proficiency.

5 students are fluent.

6 students are intermediate.

2 students are beginners.

So, there are 5+6+2, ie. 13 students in total.

So,

The probability that a student is fluent is 5/13.

The probability that a student is beginner is 2/13.

Now, we have to find

P(A randomly selected student is a fluent or a beginner)

These two events are mutually exclusive; so

=P(A student is fluent)+P(A student is beginner)

=(5/13)+(2/13)

=7/13

So, the probability that a randomly selected student is fluent or beginner is 7/13.