Ok, I think you are misinterpreting, but I see what you mean. When EY writes:
...I have transmitted three bits of information to you, because I informed you of an outcome whose probability was 1⁄8.
I take this as illustrating the definition of bits in general, rather than bits of ‘evidence’. But, yes, I agree with you now that placing that explanation in a paragraph with that lead sentence promising a definition of ‘evidence’ - well it definitely could have been written more clearly.
Ok, I think you are misinterpreting, but I see what you mean. When EY writes:
I take this as illustrating the definition of bits in general, rather than bits of ‘evidence’. But, yes, I agree with you now that placing that explanation in a paragraph with that lead sentence promising a definition of ‘evidence’ - well it definitely could have been written more clearly.