Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Given that the events A and B are such that P (A) = 1 / 2, P (A ∪ B) = 3 / 5 and P (B) = p. Find p if they are (ii) independent

Q.7   Given that the eventsA and B are such that P(A)=12,P(A\cup B)=\frac{3}{5}   and P(B)=p. Find p if they are

             (ii) independent

Answers (1)

best_answer

Given, 

          P(A)=\frac{1}{2},P(A\cup B)=\frac{3}{5}

Also, A and B  are independent events means

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

 P(A\cap B) = P(A).P(B)=\frac{p}{2}

     P(A\cup B)=P(A)+P(B)-P(A\cap B)

                        \frac{3}{5}=\frac{1}{2}+p-\frac{p}{2}

                       \frac{p}{2}=\frac{3}{5}-\frac{1}{2}=\frac{1}{10}

                     p=\frac{2}{10}=\frac{1}{5}

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 Datesheet 2027 LIVE: Class 10, 12 board exam dates soon; tentative time table, sample papers
anam-khan

CBSE Answer Sheets: CIC tells board to charge photocopying fee as per RTI rules, amend circular
anam-khan

CBSE Class 12 Supplementary Result 2026: Scanned copy, verification, re-evaluation dates announced

Latest Question