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SEAMO 2027 - Paper E - SET 04 - Self-study Question 23

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

Question 23

A palindrome is a positive integer that reads the same forwards and backwards, for example 12521 or 270072. A palindrome between 1000 and 10000 is randomly chosen. Find the probability that it is a multiple of 7.

Interpret “randomly chosen” as choosing each eligible palindrome with equal probability.
  1. $\frac14$
  2. $\frac15$
  3. $\frac16$
  4. $\frac18$
  5. None of the above