Home Maths Probability General A binary number is made up of 16 bits. The p…
Maths Probability General Single Correct MCQ
Published on: August 14, 2026

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
p/16
B
p 16
C
16 C 1 p 16
D
1-(1-p) 16

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Text Solution

Verified by Experts
The correct answer is:
D

Probability of correct bit appearing is (1 – p).

∴ ∴ Probability of correct number = (1 – p) 16 and

Hence probability of incorrect number

= 1 = (1 – p) 16 .

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