11% of students speak German. 4% of students speak French and German. If astudent is selected at random, what is the probability that the student speaks French given that he/she speaks German?

Question

11% of students speak German. 4% of students speak French and German. If astudent is selected at random, what is the probability that the student speaks French given that he/she speaks German?

Answer 1

P(F|G) = P(F and G) / P(G)

P(G) = 0.11

P(F and G) = 0.04

P(F|G) = 0.04 / 0.11 = 4/11