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What is the probability that 4 random letters written down would create a palindrome phrase-the palindrome does not have to create a real word-for example agga would count as a palindrome?
Wiki User
∙ 12y ago
Considering 26 letters alphabet
For the first letter there are 26 choices, for the second also, but for the third just one choice (the same letter as the second) and for the fourth one choice (the same as the first letter)
so there are 26x26 palindromes
and 26x26x26x26 possible words of four letters
so the probability would be (26x26) / (26x26x26x26)
If aaaa is not to be consider as a palindrome then it's (26x25) / (26x26x26x26)
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There are 264 possible combinations of four letters. There are 262 possible palindromes, because there are 26 choices for each of the first and second letters, and the third, fourth letters are uniquely determined. Hence the probability is 262/264, or 1/262.
Wiki User
∙ 12y ago
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