at a certain college 13 of students speak farsi 7 speak fren

at a certain college, 13% of students speak farsi, 7% speak french, and 3% speak both languages

a student is chosen at random.

a. what is the probability that the student does not speak french?

b. what is the probability that the student speaks farsi given that he or she speak french?

Solution

P(Farsi speakers) = 0.13
P(French speakers) =0.07
P( Farsi and French Speaker) = 0.03

a.
P(Not French Speaker) = 1-0.07 = 0.93 Answer

b.
P(Farsi Speaker/French Speaker) =P( Farsi and French Speaker) / P(French Speaker)
= 0.03/0.07
= 0.4285 Answer