AMO 2027 Grades 10-12 SET 2 - Self-study Question 3

In a class of 40 students, 20 boys and 20 girls, when given a choice to play either football or chess, 5 girls and 12 boys preferred football, with the rest choosing chess. What is the probability that the winner of the chess tournament held between the students who choose chess is a girl if all students are equally likely to win?

Choose one option.