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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