Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

13.11 A fair die is rolled. Consider events $E=\left \{ 1,3,5 \right \},F\left \{ 2,3 \right \}$ and $G=\left \{ 2,3,4,5 \right \}$ Find

(i) $P(E\mid F)$ and $P(F\mid E)$

Answers (1)

best_answer

A fair die is rolled.

Total outcomes $=\left \{ 1,2,3,4,5,6 \right \}=6$

$E=\left \{ 1,3,5 \right \},F\left \{ 2,3 \right \}$

$E\cap F=\left \{ 3\right \}$

$n(E\cap F)=1$

$n( F)=2$

$n( E)=3$

$P( E)=\frac{3}{6}$ $P( F)=\frac{2}{6}$ and $P(E\cap F)=\frac{1}{6}$

$P(E| F)=\frac{P(E\cap F)}{P(F)}$

$P(E| F)=\frac{\frac{1}{6}}{\frac{2}{6}}$

$P(E| F)=\frac{1}{2}$

$P(F| E)=\frac{P(F\cap E)}{P(E)}$

$P(F| E)=\frac{\frac{1}{6}}{\frac{3}{6}}$

$P(F| E)=\frac{1}{3}$

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 Exam Date 2027 Highlights: Class 10, 12 exam dates soon on cbse.gov.in; private candidate form

anam-khan

CBSE 10th, 12th board exam schedule 2027: Sample papers, passing marks

anam-khan

CBSE Date Sheet 2027 LIVE: Class 10, 12 board exam schedule soon; passing marks, paper pattern

Latest Question