An even palindrome

A whole number is chosen uniformly at random from 100 to 999. What is the probability it is both a palindrome (reads the same forwards and backwards) and even? Give a decimal to four places.

Show hints (2)+
  1. A palindrome is aba\overline{aba} - its last digit is aa, so parity is set by aa, not bb.
  2. Count even nonzero choices for aa, times free choices for bb, over 900.

Answer

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0.0444 (± 0.001)

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Asked at: EV & Betting Games, Data-Driven Research

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