Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Events A and B are such that P (A) = 1/ 2 , P(B) = 7/12 and P (not A or not B) = 1/ 4. State whether A and B are independent?

Q.10    Events A and B are such that P(A)=\frac{1}{2},P(B)=\frac{7}{12}  and P(not \; A \; or\; not\; B)=\frac{1}{4}.  State whether A and B are independent ?

Answers (1)

best_answer

 If A  and B are two events such that P(A)=\frac{1}{2},P(B)=\frac{7}{12} and P(not \; A \; or\; not\; B)=\frac{1}{4}.  

                    P(A'\cup B')=\frac{1}{4}

                   P(A\cap B)'=\frac{1}{4}                       (A'\cup B'=(A\cap B)')

                   \Rightarrow \, \, 1-P(A\cap B)=\frac{1}{4}

                 \Rightarrow \, \, \, P(A\cap B)=1-\frac{1}{4}=\frac{3}{4}

  Also \, \, \, P(A\cap B)=P(A).P(B)                                       

                P(A\cap B)=\frac{1}{2}\times \frac{7}{12}=\frac{7}{24}       

 As we can see \frac{3}{4}\neq \frac{7}{24}

Hence, A and B are not independent.                                                                           

Posted by

seema garhwal

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

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years
anam-khan

CBSE Class 12 accountancy board exam analysis 2024 out; paper rated easy, balanced

Latest Question