eli5, is it true that irrational numbers like pi contains every single number combination in it?

Question

eli5, is it true that irrational numbers like pi contains every single number combination in it?

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Answer 1

This is only true is the number is also something called ‘normal’. A normal number’s decimal expansion contains every possible finite string of digits with a frequency inversly proportional to the length of that string. There is no test for whether or not a given number is normal, but we do know that there are more normal numbers than i.e., the set of normal number is uncountable while the set of non-normal is countable.)

Pi is probably normal, given that it is just the most likely possibility, but we cant prove it.