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SEAMO 2027 - Paper E - SET 07 - Self-study Question 19

SEAMO · SEAMO 2027 - Paper E - SET 07 - Self-study

Question 19

Two fair dice are thrown. Consider these claims about the difference between the numbers: (i) the probability of $2$ is $2/9$; (ii) of $3$ is $1/6$; (iii) of at least $2$ is $1/3$; (iv) of at most $4$ is $7/9$. Which claims are true?

Difference means the nonnegative absolute difference; the two fair dice are independent.
  1. i and ii
  2. i and iii
  3. ii and iii
  4. iii and iv
  5. All of the above