$A$ binary number is made up of $16$ bits. The probability of an incorrect bit appearing is $p$ and the errors in different bits are independent of one another. The probability of forming an incorrect number is

  • A
    $\frac{p}{16}$
  • B
    $p^{16}$
  • C
    ${}^{16}C_1 p^{16}$
  • D
    $1 - (1 - p)^{16}$

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