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IKMC 2022 - Grades 11-12 - Set 2 - Self-study Question 16

IKMC · IKMC 2022 - Grades 11-12 - Set 2 - Self-study

Question 16

Martina plays in an eight-player knockout tournament. She beats everyone except Ash, who beats everybody. Players are randomly assigned to four first-round pairs; winners proceed to two second-round matches, then the final. What is the probability that Martina does not reach the final?
  1. $1$
  2. $1/2$
  3. $2/7$
  4. $3/7$
  5. $4/7$