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IKMC 2025 - Grades 9-10 - Set 2 - Self-study Question 20

IKMC · IKMC 2025 - Grades 9-10 - Set 2 - Self-study

Question 20

Five bricks form the wall shown. Peter may remove a brick only when no other brick is directly above it. At each turn he chooses uniformly at random among the currently removable bricks and removes one. What is the probability that brick 4 is the third brick removed?

Question illustration
  1. $1/3$
  2. $1/4$
  3. $1/5$
  4. $1/6$
  5. $1/8$