That’ll be almost independent but not unbiased: I think that a-m will be more frequent than n-z. However, you could do the von Neumann trick: if you have an unfair coin and want a fair sequence of bits, take the first and second flips. HT is 0, TH is 1, and if you get HH or TT, check the third and fourth flips. Etc.
I just looked up the letter frequencies and it’s 52% for a-m and 48% for n-z (for the initial letters of English words). Using ‘l’ instead of ‘m’ gives a 47⁄53 split, so ‘m’ is at least the best letter to use.
That’ll be almost independent but not unbiased: I think that a-m will be more frequent than n-z. However, you could do the von Neumann trick: if you have an unfair coin and want a fair sequence of bits, take the first and second flips. HT is 0, TH is 1, and if you get HH or TT, check the third and fourth flips. Etc.
I just looked up the letter frequencies and it’s 52% for a-m and 48% for n-z (for the initial letters of English words). Using ‘l’ instead of ‘m’ gives a 47⁄53 split, so ‘m’ is at least the best letter to use.