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AMO 2027 Grades 10-12 SET 1 - Self-study Question 7

AMO · AMO 2027 Grades 10-12 SET 1 - Self-study

Question 7

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.
  1. $\frac38$
  2. $\frac12$
  3. $\frac{15}{23}$
  4. $\frac{12}{17}$
  5. $\frac45$