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GATE 2025 CS (CS1) – Question 56

Engineering Mathematics · Probability and Statistics · 2 marks · Numerical answer

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)

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Correct answer: 0.951

Explanation

Each bit is delivered correctly with probability 0.99, so P = 0.99^5 ≈ 0.951.