Bit transmission errors between computers sometimes occur, where one computer sends a $0$ but the other computer receives a $1($or vice versa$).$ Because of this, the computer sending a message repeats each bit three times, so a $0$ is sent as $000$ and as $111.$ The receiving computer "decodes" each triplet by majority rule: whichever number, $0$ or $1,$ appears more often in a triplet is declared to be the intended bit. For example, both $000$ and $100$ are decoded as $0,$ while $101$ and $011$ are decoded as $1.$ Suppose that $6\%$ of bits are switched $(0$ to $1$ or $1$ to $0)$ during transmission between two particular computers and that these errors occur independently during transmission.

a$.$ Find the probability that a triplet is decoded incorrectly by the receiving computer.