Questions tagged [binary-symmetric-channel]

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How much information is encoded in a bit that is correct by a given probability (reliability)?

Let's say you have measured a bit b ∈ {0, 1} and you know that with probability p ∈ [0, 1] that your measurement might be wrong, i.e. that the measurement is correct by probability 1-p. How much information, on average, is contained in one such…