Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 17.

Need solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 17.

Answers (1)

Answer: P(B \mid A)=\frac{n(A \mid B)}{n(A)}=\frac{3}{6}=\frac{1}{2}

Hint: Use, P(B \mid A)=\frac{P(A \mid B)}{P(A)}

 

Given,

            A = 4 appears on first die

            B = The sum of the numbers is on two dice is 8 or more

Solution:

 \begin{aligned} &A=\{(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)\} \\ &n(A)=6 \\ &B=\left\{\begin{array}{l} (2,6),(3,5),(3,6),(4,4),(4,5), \\ (4,6),(5,3),(5,4),(5,6),(6,2), \\ (6,3),(6,4),(6,5),(6,6) \end{array}\right\} \\ &n(B)=15 \end{aligned}

Now,

\begin{aligned} &P(A)=6 \\ &P(B)=15 \\ &A \cap B=\{(4,4),(4,5),(4,6)\} \end{aligned}

 Required Probability P(B \mid A)=\frac{P(A \mid B)}{P(A)}=\frac{1}{2}

Posted by

infoexpert24

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 supplementary exams 2026 datesheet out; test on July 28
anam-khan

Centre, CBSE, NCERT defend NEP three-language policy in SC; seek dismissal of pleas against framework
anam-khan

Supreme Court to hear plea against CBSE evaluation policy for Gulf Class 12 students on July 14

Latest Question