What is the probability that three points, randomly put on a circle will fall in the same semicircle?

Asked by Last Modified  

23 Answers

Follow 0
Answer

Please enter your answer

Its 3/4, in geometrical probability we neglect boundary points hence right angled triangle case neglected.
Comments
Dislike Bookmark

Exam patterns and general useful info and tips about the exam.
Comments
Dislike Bookmark

Exam patterns and general useful info and tips about the exam.
Comments
Dislike Bookmark

Exam patterns and general useful info and tips about the exam.
Comments
Dislike Bookmark

Its 3/4, in geometrical probability we neglect boundary points hence right angled triangle case neglected.
Comments
Dislike Bookmark

joining one would do good because at coaching you can get the idea of exam patterns and general useful info and tips about the exam.
Comments
Dislike Bookmark

joining one would do good because at coaching you can get the idea of exam patterns and general useful info and tips about the exam.
Comments
Dislike Bookmark

B.Tech, Spoken English, EEC, MATLAB, CET Coaching Tutor with 20 years of experience

Let f_n(x) the density probability of the span of n points, that is the smallest sector which contains them. For n = 2, f_2(x) = 1/ pi for x in and 0 beyond. For n = 3, f_3(x) = ( 2 / 2 pi) *int f_2(u) du + f_2(x) * (x/2pi). This expresses that, to have a span x for three points, you start...
read more
Let f_n(x) the density probability of the span of n points, that is the smallest sector which contains them. For n = 2, f_2(x) = 1/ pi for x in [0,pi] and 0 beyond. For n = 3, f_3(x) = ( 2 / 2 pi) *int [0,x] f_2(u) du + f_2(x) * (x/2pi). This expresses that, to have a span x for three points, you start from 2 points: either their span is less than x, and you have 2 positions where to put the third point, or their span is x, and you have the sector between the 2 first points available. This formula remains valid if one replaces f_2 and f_3 by f_n and f_(n+1) For x< pi, f_n(x) is of the form C_n x^(n-2) where C_n can be computed by induction. In the end your probability P_n = integral [0,pi] f_n(x) dx = n / 2^(n-1). read less
Comments
Dislike Bookmark

Best Institute For Competitive Exams

Hi Kunal, May I know, How did you arrive to the answer? 0.5 seems to be matching my answer
Comments
Dislike Bookmark

Best Institute For Competitive Exams

Its 3/4, in geometrical probability we neglect boundary points hence right angled triangle case neglected.
Comments
Dislike Bookmark

View 21 more Answers

Related Questions

Is coaching needed for class 12 Economics?
It depends on you choice if you have need then join if not then it is not necessary for you.
Bhakti
0 0
7
How much would it cost for a IIT-JEE tutor who teaches online any subject?
Rs. 2000 per month.
Dhanush
Is it necessary to go to coaching or tuition for English in class 12 CBSE?
I think those students who are studying in a CBSE schools.They won't need.
Brahma
0 0
6
How important is class 11? Will it be alright if I join a dummy school in class 11and attend coaching class for JEE?
Class 11 is extremely important as it lays the foundation for future exams. Yes, a lot of students join dummy school and concentrate on preparing for JEE by enrolling in coaching institutes because they...
Gowrikanth
0 0
8
Is there any benefit to take IIT coaching in class 12?
Coaching institutes play a role of facilitator , be it for iit jee or any other exam. These institutes provide a system for students and by system I mean the completion of syllabus, regular test and Assessment,...
Raj
0 0
6

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

15 Easy Tips to solve MCQs in IIT JEEs
As we know, JEE is the toughest entrance test in India. But how many of you know the tricks to mark correct answers for MCQs in JEE Main and JEE Advanced? I know a few. In JEE, all questions are objective....

Akhil Goyal

0 0
0
Introduction to motion in a plane : Position Vector, Velocity Vector, Acceleration Vector and two questions based on it.

Sunil Yadav

2 0
0
Vector components in 3D

Rajan Mittal

0 0
0
Behavior Management Tips for New Teachers
Behavior Management Tips for New Teachers! Behavior Management is a challenge that every new teacher faces. Unfortunately, teachers cannot be 100% prepared on how to effectively manage an entire classroom...

Fatima Sheikh

1 0
0
Class 11th - Maths
Calculate slope of a line(AB) formed by joining the co-ordinates A(-3, 5) and B(4,8)
G

Goodwill Gate2iit

0 1
1

Recommended Articles

Importance of IIT JEE Crash Course and Success...

In conversation with Mr. Radhakrishnan K, Head of School Marketing, T.I.M.E., Chennai, on the importance and benefits of taking up IIT JEE Crash Course. He also shared few valuable IIT JEE tips and strategies for standing a better chance at the engineering entrance exam. About T.I.M.E., Chennai: Triumphant Institute...

Read full article >

Must read tips and tricks for JEE Exam 2016

By this time, I hope that all of you are in full throttle for your coming JEE Exam. Every student is strategic and intelligent in their preparations. But interestingly very few students succeed in JEE entrance exam. So to succeed in JEE test you need to plan accordingly. No teacher or students are strong in all areas...

Read full article >

Quick Facts - JEE Advanced Exam 2016

If you have written the JEE Main entrance test in 2016, it’s time that you know some important facts about the JEE Advanced and stay prepared for the entrance exam. Here are few quick facts for you: Quick Facts - JEE Advanced Exam 2016 Number of papers The JEE Advanced entrance exam consists of two papers -- Paper...

Read full article >

What are the important topics for IIT JEE...

With the passion to pursue engineering from a premier institute like IIT, a lot of students aim at cracking the IIT JEE to live this dream right from their 11th standard. Considered as one of the most difficult entrance exams across the globe, not many know how to prepare for JEE and lack correct guidance. Here we will...

Read full article >

Find IIT JEE Coaching near you
IIT JEE Coaching in Delhi
IIT JEE Coaching in Mumbai
IIT JEE Coaching in Bangalore
IIT JEE Coaching in Hyderabad
IIT JEE Coaching in Kolkata
IIT JEE Coaching in Chennai
IIT JEE Coaching in Pune
IIT JEE Coaching in Lucknow
IIT JEE Coaching in Gurgaon
IIT JEE Coaching in Jaipur
Online IIT JEE Coaching

Looking for IIT JEE Coaching ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you