Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English examination is 0.75, what is the probability of passing the Hindi exam

20. The probability that a student will pass the final examination in both English and Hindi is  \small 0.5 and the probability of passing neither is \small 0.1. If the probability of passing the English examination is  \small 0.75, what is the probability of passing the Hindi examination?

Answers (1)

best_answer

Let A be the event that the student passes English examination and B be the event that the students pass Hindi examination.

Given, 

P(A)=0.75, P(A  \cap B) = 0.5, P(A' \cap B') =0.1

We know,

P(A' \cap B') = 1 - P(A \cup B)

\implies P(A \cup B) = 1 - 0.1 = 0.9

Also,

P(A \cup B) = P(A)+ P(B) - P(A \cap B) 

\implies P(B) = 0.9 - 0.75 + 0.5 = 0.65

Hence,the probability of passing the Hindi examination is 0.65

Posted by

HARSH KANKARIA

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question