(math done bei nerd-pajeet in past thread)
3 digit palindrome (121) is of the same standing as dubs with 10% probability.
4 digit palindrome (1221) is of the same standing as trips with 1% probability.
5 digit palindrome (12321) is also 1%.
6 digit palindrome (123321) has a 0.1% chance.
ID palindromes are a lot harder to get:
3 character palindrome (aba) - 1.5625%
4 character palindrome (abba) - 0.0244140625%
5 character palindrome (abcba) - 0.0244140625%
6 character palindrome (abccba) - 0.0003814697266%