A Question About Palindromes
A palindrome is a word or phrase that is read the same way backward and forward (for this question we will only be focusing on words that are palindromes, for example, level). If you use a random letter generator to make a random sequence of 5 letters (remember, letters can be repeated in the sequence), what are the odds that the sequence of letters is a palindrome?
Write what x is if the odds are 1 in x .
The answer is 676.
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No. of ways you can choose the first 3 letters (the other two will accordingly be arranged) = 26^3 ; Total words possible = 26^5. Thus the probability is 1/26^2, x = 676