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IKMC 2021 - Grades 11-12 - Self-study Question 18

IKMC · IKMC 2021 - Grades 11-12 - Self-study

Question 18

A string lies as pictured, with three crossings hidden by coins. At each crossing, either of the two shown over-under arrangements is equally likely, independently of the others. What is the probability that pulling its ends tight produces a knot?

Question illustration

Question illustration

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