Browse by Stream
QnA
Home
Search for Exam, Articles, Questions
QnA
get app
Go To Your Study Dashboard
  1. Home
  2. An insurance company insured 3000 cyclists, 6000 scooter drivers and 9000 car drivers. The probability of an accident involving a cyclist, a scooter driver and a car driver are 0·3, 0·05 and 0·02 respectively. One of the insured pe
# School

An insurance company insured 3000 cyclists, 6000 scooter drivers and 9000 car drivers. The probability of an accident involving a cyclist, a scooter driver and a car driver are 0·3, 0·05 and 0·02 respectively. One of the insured persons meets with an accident. What is the probability that he is a cyclist ?

 

 

 

 
 
 
 
 

Answers (1)
R Ravindra Pindel

Let the events are defined as E1  : The person chosen is a cyclist.
E2 : Person chosen is a scooter driver.
E3 :Person chosen is a car driver and
A: The person meets with an accident.
Then P\left ( E_{1} \right )= \frac{3000}{18000}= \frac{3}{18}\: P\left ( E_{2} \right )= \frac{6000}{18000}
P\left ( E_{3} \right )= \frac{9000}{18000}= \frac{9}{18}
Also, P\left (\frac{A}{E_{1}} \right )=0\cdot 3= \frac{30}{100},P\left (\frac{A}{E_{2}} \right )=0\cdot 05= \frac{5}{100}
P\left (\frac{A}{E_{3}} \right )=0\cdot 02 = \frac{2}{100}
Thus required probability,
P\left (\frac{E_{1}} {A}\right )= \frac{P\left ( \frac{A}{E_{1}} \right )P\left ( E_{1} \right )}{P\left ( \frac{A}{E_{1}} \right )P\left ( E_{1} \right )+P\left ( \frac{A}{E_{2}} \right )P\left ( E_{2} \right )+P\left ( \frac{A}{E_{3}} \right )P\left ( E_{3} \right )}
\Rightarrow \frac{\frac{30}{100}\times \frac{3}{18}}{\frac{30}{100}\times \frac{3}{18}+\frac{5}{100}\times \frac{6}{18}+\frac{2}{100}\times \frac{9}{18}}
\Rightarrow \frac{15}{15+5+3}= \frac{15}{23}

Similar Questions

Related Chapters

Preparation Products

Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout NEET Aug 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Knockout NEET Aug 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Test Series JEE Main May 2021

Unlimited Chapter Wise Tests, Unlimited Subject Wise Tests, Unlimited Full Mock Tests, Get Personalized Performance Analysis Report,.

₹ 6999/- ₹ 2999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
Start Now
 
Exams
Articles
Questions