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During transmission over a communication channel, bit errors occur independently with probability p. If a block of $n$ bits is transmitted, the probability of at most one bit error is equal to

  1. $1-(1-p)^n$
  2. $p+(n-1)(1-p)$
  3. $n p(1-p)^{n-1}$
  4. $(1-p)^{n}+ n p(1-p)^{n-1}$
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