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IKMC 2027 - Grades 11-12 - Self-study SET 2 - Thematic Batch 3 Question 12

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 2 - Thematic Batch 3

Question 12

A piece of string lies on a table with parts hidden as shown. At each hidden crossing it can have either of the two pictured over-under arrangements Question illustration and Question illustration. If its ends are pulled, what is the probability that it has a knot?

Original printed choices: A) 1/2; B) 1/4; C) 1/8; D) 3/4; E) 3/8

Editorial note: Explain whether the printed question and choices are consistent. Give the literal mathematical result and distinguish any intended correction.

Question illustration