UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review All Categories Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Book a Free Demo

Class 12 Tuition > If three natural numbers from 1 to 100 are selected...
✕

Search in

If three natural numbers from 1 to 100 are selected randomly then probability that all are divisible by both 2 and 3 is........ ??

Asked by Last Modified  

17 Answers

Follow 0
Answer

Please enter your answer

Mathematics for JEE Mains/Advanced, XI & XII (All Boards)

Since the numbers selected randomly can be repeated hence ans is 16^3/10^3
Comments
Dislike Bookmark

Tutor

A number divisible by 2 AND 3 is divisible by 6. 100/6 = 16.67 There are 16 numbers between 1 and 100 which are divisible by 6. Out of these 16 we have to select 3 numbers. The number of ways to do this is 16C3. Total sample space is selection of 3 numbers from 100 numbers. The no. of ways to...
read more
A number divisible by 2 AND 3 is divisible by 6. 100/6 = 16.67 There are 16 numbers between 1 and 100 which are divisible by 6. Out of these 16 we have to select 3 numbers. The number of ways to do this is 16C3. Total sample space is selection of 3 numbers from 100 numbers. The no. of ways to do this is 100C3. So, probability of selecting 3 numbers, which are divisible by 2 and 3 i.e by 6 out of 1st 100 natural numbers is = 16C3/100C3 = 16*15*14/(100*99*98) = 0.0035 (approx... rounded off). read less
Comments
Dislike Bookmark

Abhishek S ( M.Pharm.MBA) tutor for IB/International/IGCSE

Divisible by 2= 50, by 3= 33, by 6= 16 so 16/100
Comments
Dislike Bookmark

Headstart to assured 95+ score in math

(16x15x14) / (100x99x98)
Comments
Dislike Bookmark

Headstart to assured 95+ score in math

(16x15x14) / (100x99x98). hope its correct :)
Comments
Dislike Bookmark

IIT Delhi Final Year Student

numbers divisible by 2 and 3 are multiple of 6. there are 16 numbers divisible by 6 till 1-100. so probability is 16C3/100C3
Comments
Dislike Bookmark

Online Tutor-Mathematics, Science, Competitive Exam Preparation

To be divisible by both 2&3 the numbers should be multiples of 6. There are 16 such numbers 6,12,18,....,96. To choose 3 out of these 16 is 16c3. This comes in numerator as it is a possible outcome. Total possible outcome is 100c3. So answer is (16c3)/(100c3).
Comments
Dislike Bookmark

The probability of three natural nos to be selected from 100 nos randomly is 3/100. Moreover there are 16 natural nos that are both divisible by 2 & 3 starting from 6 & ending at 96.Therefore, required prob = 3 X 16/100.
Comments
Dislike Bookmark

Trainer

Solution: Numbers divisible by 2 and 3 also divisible by 6. so, Divisors of 6 between 1 to 100 = 6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96= 16 numbers Probability of selecting 3 natural numbers = 16C3/ 100C3 =(16x15x14)/(100x99x98) simplify it further..
Comments
Dislike Bookmark

AMIE

S = { 1, 2 3, ............, 100 } E = { 6, 12, 18, 24, .....96 } P(E) = 16C3 / 100C3 16 x 15 x 14 3 x 2 x 1 = ------------------ x ------------------ 3 x 2 x 1 100 x 99 x 98 4 x 5 = --------------- ...
read more
S = { 1, 2 3, ............, 100 } E = { 6, 12, 18, 24, .....96 } P(E) = 16C3 / 100C3 16 x 15 x 14 3 x 2 x 1 = ------------------ x ------------------ 3 x 2 x 1 100 x 99 x 98 4 x 5 = --------------- 25 x 33 4 = ---------- 165 read less
Comments
Dislike Bookmark

View 15 more Answers

Related Questions

Magnetism of a magnet can be destroyed by a.) heating. b.) hammering. c.) by inductive action of another magnet. d.) by all above methods.
d
Kumar Upendra Akshay
Fill in the blanks by suitable conversion of units (a) 1 kg m2 s-2 = �. g cm2 s-2 (b) 1 m =���� ly (c) 3.0 m s-2 = �. km h-2 (d) G = 6.67 x 10-11 N m2 (kg)-2 = �. (cm)3 s-2 g-1
Q(a)10^7 Q(b)1.06*10^-16 Q(c)10.8 Q(d)6.67*10^-8
Furqankhan
What do u mean by pure rolling?
If an object such as a cylinder rolls without slipping on the surface (we call this pure rolling motion), a simple relationship exists between its rotational and translational motions.
Ravi Ranjan
What is stationary waves?
A wave appears to be stationary if the medium is moving in the opposite direction to that of the wave. Examples can be seen in river surfing. Or it can arise in a stationary medium as a result of interference...
Ravi Ranjan
Who made the first BATTERY?
Alessandro Volta
Sugantha

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

Ask a Question

Related Lessons

Trigonometric Ratio
A ratio is a statement of a mathematical relationship comparing two quantities, often represented as a fraction. If we consider an angle A in a right angled triangle, we can construct various ratios to...

Vijaya Kumar Jayanthi

2 0
0
Easy Way to Exam preparation
List out the chapters that you are studied and easy for you. List out the chapter that covers max marks and easy. List out sub topics names in each chapter and prepare each concept by understanding...

Padmavathy M

0 0
0
Trigonometric Trick
The figure above will make sin and cos angle learning much easy. Asign degree values to your fingure as shown in figure. Always keep sqrt(_)/2 as default. Here filling up sqrt(__) will give the anwer...
A

Amala Thomas

2 0
0
IUPAC Nomenclature Chemistry Class - XI
IUPAC nomenclature of organic chemistry : The IUPAC nomenclature of organic chemistry is a systematic method of naming organic chemical compounds as recommended by the International Union of Pure and...

Sudhansu Bhushan Roy

1 0
0
Short Answer Questions for Chapter-1 Computer Science Class-XI-CBSE
What is Computer? Ans: Computers are human made electronic machines that perform tasks or calculations according to a set of instructions, or given programs. What is the name of the machine which...

Dr. Lalit Arora

1 0
0

Recommended Articles

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Meet Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Meet Radhe Shyam Burman, an MBA Tutor from...

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Find Grade 12 Tuition near you
Grade 12 Tuition in Delhi
Grade 12 Tuition in Bangalore
Grade 12 Tuition in Hyderabad
Grade 12 Tuition in Kolkata
Grade 12 Tuition in Mumbai
Grade 12 Tuition in Chennai
Grade 12 Tuition in Pune
Grade 12 Tuition in Lucknow
Grade 12 Tuition in Jaipur
Grade 12 Tuition in Noida
Online Tuition Class 12

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more

ThinkVidya Learning Pvt Ltd © 2010-2025 All Rights Reserved