Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7.

19.    In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is \small 0.8 and the probability of passing  the second examination is  \small 0.7 . The probability of passing atleast one of them is  \small 0.95 . What is the probability of passing both? 

Answers (1)

best_answer

Let A be the event that the student passes the first examination and B be the event that the students passes the second examination.

P(A \cup B) is probability of passing at least one of the examination.

Therefore, 

P(A \cup B) = 0.95 , P(A)=0.8, P(B)=0.7

We know,

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

\implies P(A \cap B) = 0.8 + 0.7 - 0.95 = 1.5 -0.95 = 0.55

Hence,the probability that the student will pass both the examinations is 0.55

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

CBSE Results 2024: Last 9 years’ CBSE Class 10, 12 result date and time; links to check score
anam-khan

CBSE Board exams twice a year from 2025, no plan for semesters: MoE
anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th

Latest Question