Suppose a 5-bit message is transmitted from a source to a destination through a noisy channel. The probability that a bit of the message gets flipped during transmission is $0.01$. Flipping of each bit is independent of one another. The probability that the message is delivered error-free to the destination is ______ . (rounded off to three decimal places)

Let $p$ be the probability that a single bit gets flipped (corrupted) during transmission:

The probability that a single bit is received correctly (without being flipped) is:

Since the transmission of each bit is independent, the probability that all $5$ bits in the message are transmitted without any error is:

Evaluating $(0.99)^5$:

Rounding off to three decimal places gives 0.951 (accepted range: 0.949 to 0.952).