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SEAMO 2027 - Paper E - SET 04 - Self-study Question 16

SEAMO · SEAMO 2027 - Paper E - SET 04 - Self-study

Question 16

Two real numbers between 0 and 1 are randomly chosen. What is the probability that the difference between them is greater than $1/4$?

Interpretation for this practice question: the choices are independent and uniform on (0,1), and “difference” means the absolute difference. The source does not spell out these assumptions.
  1. $\frac12$
  2. $\frac9{16}$
  3. $\frac58$
  4. $\frac{11}{16}$
  5. None of the above