Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • If A and B are two independent events, then prove that the probability of occurrence of at least one of A and B is given by <img alt="1-p\left ( {A}' \right )\cdot p\left ( {B}' \right )\cdot" src="https://entrancecorner.codecogs.com/gif.latex?1-p%5Cle

If A and B are two independent events, then prove that the probability of occurrence of at least one of A and B is given by 1-p\left ( {A}' \right )\cdot p\left ( {B}' \right )\cdot

 

 

 

 
 
 
 
 

Answers (1)

Required probability = p\left ( A\cup B \right )
= p\left ( A \right )+p\left ( B \right )-p\left ( A \right )p\left ( B \right )
= p\left ( A \right )\cdot p\left ( {B}' \right )-p\left ( {B}' \right )+1
= p\left ( {B}' \right ) \left (p\left ( A \right )-1 \right )+1= 1-p\left ( {A}' \right )p\left ( {B}' \right )

Posted by

Ravindra Pindel

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 unveils 8 major changes for Class 10, 12 board exams; what students need to know
anam-khan

APAAR ID must for CBSE board exams 2026, hike in exam fee, new digital experience centre
anam-khan

CBSE Class 10, 12 Supplementary Exam 2025: Marks verification, re-evaluation process begins from August 6

Latest Question