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In a digital communication system, transmissions of successive bits through a noisy channel are assumed to be independent events with error probability p. The probability of at most one error in the transmission of an 8-bit sequence is

A. $$\frac{{7\left( {1 - p} \right)}}{8}+\frac{{7\left( {1 - p} \right)}}{{8 + \frac{p}{8}}}$$

B. (1 - p)8 + 8p(t - p)7

C. (1 - p)8 + (1 - p)7

D. (1 - p)8 + p(1 - p)7

Answer: Option B


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