There are many ways of slicing and dicing things so that you group different sequences, e.g. group permutations as the same as you have done. But by "number" I was referring to a sequence of symbols drawn from a uniform…
Yeah, they would be far better off just guessing under 60 every time...
Precisely. A difference only arises when comparing sets of strings. In our example, the number of elements in the set uniform strings aaaa...a of length L is equal to the number of distinct symbols N, while the number…
111111 is just as likely as any other number. However, in practice, humans are far more likely to think of 111111 than other numbers, so we exploit the difference between the probability a human guesses a number vs. the…
There are many ways of slicing and dicing things so that you group different sequences, e.g. group permutations as the same as you have done. But by "number" I was referring to a sequence of symbols drawn from a uniform…
Yeah, they would be far better off just guessing under 60 every time...
Precisely. A difference only arises when comparing sets of strings. In our example, the number of elements in the set uniform strings aaaa...a of length L is equal to the number of distinct symbols N, while the number…
111111 is just as likely as any other number. However, in practice, humans are far more likely to think of 111111 than other numbers, so we exploit the difference between the probability a human guesses a number vs. the…