$A$ 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$\frac{p}{16}$
- B$p^{16}$
- C${}^{16}C_1 p^{16}$
- D$1 - (1 - p)^{16}$
Explore More
Similar Questions
There are three events $A, B, C$ one of which must and only one can happen. The odds are $8$ to $3$ against $A$ and $5$ to $2$ against $B$. Find the odds against $C$.
Medium
View SolutionThe letters of the word $SOCIETY$ are arranged in a row. What is the probability that the $3$ vowels come together?
Medium
View SolutionIn a class,$30 \%$ of students passed English,$20 \%$ passed French and $10 \%$ passed both. If a student is selected at random,what is the probability that he has passed English or French?
Medium
View SolutionTwo dice are thrown. Find the probability of getting an even number as the sum.
Medium
View SolutionFrom a pack of $52$ playing cards,three cards are drawn at random. Find the probability of drawing a king,a queen,and a jack.
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo