Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • If the probability of A to fail in an examination is and that of B is <img alt="\frac

If the probability of A to fail in an examination is \frac{1}{5} and that of B is \frac{3}{10} then the probability that either A or B fails is

Option: 1

\frac{1}{2}


Option: 2

\frac{11}{25}


Option: 3

\frac{19}{50}


Option: 4

None of these


Answers (1)

best_answer

The probability of A failing \mathrm{=P(A)=\frac{1}{5}}

and the probability of B failing \mathrm{=P(B)=\frac{3}{10}}

The required probability \mathrm{=P(A \bar{B} \cup \bar{A} B)=P(A \bar{B})+P(\bar{A} B)}

\mathrm{=P(A) \cdot P(\bar{B})+P(\bar{A}) \cdot P(B)=\frac{1}{5}\left(1-\frac{3}{10}\right)+\left(1-\frac{1}{5}\right) \cdot \frac{3}{10}=\frac{19}{50} \text {. } }

Posted by

Pankaj Sanodiya

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026 Registration LIVE: NTA session 1 form link at jeemain.nta.nic.in; application deadline
anam-khan

JEE 2026: IIT admissions show major shift toward AI, data science, away from core engineering courses
anam-khan

JEE Main 2026: NIT Delhi cut-offs for BTech courses show ever-increasing demands for AI, computer skills

Latest Question