Skip to content
GATEiit

GATE CSE 2025 Session 1 Q56: Probability a 5-bit message arrives error-free

Question

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)

Try it: numerical answer: type the value

Numerical answer. No negative marking.
Show answer and explanation

Answer: 0.949 to 0.952 (official GATE 2025 final answer key)

Concept used: Independent events: the message is error-free only if every bit survives.

First step: Each bit arrives correctly with probability 0.99, so the probability is 0.9950.99^5.

Full step-by-step solution

Detailed working, common mistakes and linked mock tests will be available with a free GATEiit account. Log-in is coming soon.

Share this question

WhatsAppDownload image

Source: official GATE 2025 Session 1 CS question paper and final answer key, organised by IIT Roorkee. Question paper · Answer key

More Computer Networks PYQs

PracticePractise Computer Networks questions →Full paperAll GATE CSE 2025 Session 1 questions →