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A 2-bit binary sequence is transmitted over a noisy communication channel. The noise corrupts the signal...

A 2-bit binary sequence is transmitted over a noisy communication channel. The noise corrupts the
signal in the sense that a transmitted digit transmitted can be flipped with probability 0.1. It has been
observed that, across a large number of transmitted signals, the 0s and 1s are transmitted in the ratio 3:4.
Given that the sequence 01 is received, calculate the probability that this sequence was transmitted.
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