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A binary symmetric channel with p as transition probability, uses repetition code 'n' times, with n = 2m + 1 being an odd integer. In a block of n bits, if the number of zeros exceed number of ones, decoder decodes it as "0" otherwise as "1". An error occurs when m + 1 or more transmission out of 3 are incorrect, what is the probability of error?

A. 3p2(1 - p) + p3

B. 5p2(1 - p) + $$\frac{1}{3}$$p3

C. p3(1 - p) + p2

D. p3(1 - p) + p2

Answer: Option A


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