If I were to pick numbers for a lottery perhaps, would a sequence like that be a bad idea?
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> the probability of a sequence of say 7 consecutive numbers 1 2 3 4 5 6 7 is lower than the sequence of 7 randomly generated digts.
Well yes, that’s trivial: getting *one specific* sequence instead of *any sequence* is a rather narrower target to aim for.
What you need to consider is that it has the same probability of *any* single specific sequence assuming the draw is truly random without tricky stuff like having ten 4 balls in the bucket you pull from. 4 8 3 5 2 7 1 has the exact same probability as 1 2 3 4 5 6 7.
For the lottery the order does not matter by the way, but winning with consecutive numbers still has the same odds as nailing any other set of numbers.
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