UrbanPro

Location Set your Location

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 10 Tuition from the Best Tutors

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

Book a Free Demo

Class 10 > Learn Class IX-X 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 find the probability that all are divisible by both 2 and 3 ?

Asked by Last Modified  

68 Answers

Learn Class IX-X Tuition

Follow 0
Answer

Please enter your answer

A Private Tutor of Mathematics

A number is divisible by both 2 and 3 if it is divisible by 6. There are 16 such numbers in 1 to 100.(6,12,18,24....,96). So all my numbers should be from these 16 numbers, which can happen in 16c3 ways. But total number of possible choice is 100c3. So probability is 16c3/100c3
Comments
Dislike Bookmark

Tutor

There are 16 numbers divisible by 6 Thus probability that 3 numbers are divisible by both 2 and 3 = 16C3/100C3 = (16*15*14)/(100*99*98) = 4/(5*33*7) = 4/1155 = 0.0035
Comments
Dislike Bookmark

Teaching is my passion!!!!

16/100
Comments
Dislike Bookmark

Math magician

Shailendar's answer is correct
Comments
Dislike Bookmark

Expert tutor - Target Bank PO 2015 here

Sample Space will be multiple of 6 because numbers divided by 6 are the only numbers divided by 2 and 3. So Multiple of 6 below 100 are {6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96} =16 numbers Probability = 16/100 If it has 2 or 3 then it would have been different case :)
Comments
Dislike Bookmark

GMAT Math Expert

if a number has to be divisible by both 2 and 3 then it should be divisible by 6 (LCM(2,3)=6). Now all multiples of 6 from 1 to 100 are divisible by both 2 and 3 and there are16 multiples of 6. Therefor probability is 16/100
Comments
Dislike Bookmark

Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

Probability that all are divisible by both 2 and 3 = 4 / 1155
Comments
Dislike Bookmark

Tutor

the no. will be divided by 6 ( 2 and 3 are co-prime to each other).. so the total no. of numbers divisible by 6 is 16 (6, 12,18, 24,...............96). Total favarable cases - 16c3 total cases - 100c3 so probability = (16c3)/ (100c3)
Comments
Dislike Bookmark

Probability that the number is divisible by both 2 and 3== proability that the number is divisible by 6=> # of numbers divisible by 6 and < 100 = 16 Probability = (16C3)/(100C3)
Comments
Dislike Bookmark

1538415

4/1155
Comments
Dislike Bookmark

View 66 more Answers

Related Questions

Calculate the energy consumed by 120W toaster in 20 minutes.
Energy= power×time P =120 W =120 J/s Time t = 20 min = 20×60 second= 1200 second E = 120× 120 = 144000joul E =144×1000 joul =144 kilo joul
Bhargavi
0 0
9
How much should I charge for 9th class Science and Math subjects?
700 per subject per month
Ranjeet Kumar
What is PCPA in Maths- is it Per Percentage per annum?
it is per cent per annum. cent= century i.e. 100 and anuum means one year. we have a general word as per-head means for every head. in this way per cent means for every hundred
Shyam Rupani
What is the audible range of frequency for human beings?
20Hz to 20 kHz.
Harsha
0 0
5
If the zeroes of polynomial x3 – ax2 + bx – c are in AP then show that 2a3 – 9ab + 27c = 0
zreors of polynomial means roots of polynomial if the roots of polynomial are in AP then the roots are A+d, A, A-d Sum of the roots = (-) Co-efficient of X^2/ Co-efficient of X^3 = A+d +A +A-d ...
Gerda
0 0
5

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

Ask a Question

Related Lessons

Fmily vocabulary

Kalpana M.

0 0
0
Maths Classes Tuition Teacher BBA BCA IB ISC IGCSE Advance Mathematis
Math Tutoring Success Students spend 50% of their waking hours at school or doing homework, and something that occupies such a large amount of time inevitably plays a big role in their happiness. School...

Manibhushan K.

0 0
0
How to score well in Science Class 10 exams?
Science is quite easy feel it.Stick to NCERT first complete it.Then go for any refrence book. I'd recommend S.CHAND. Do not study it for sake of having marks. You are in 10th so grasp all the basics for...
K

Kushal Sharma

0 0
0
Carbon and it's compounds
https://docs.google.com/a/schoolpage.me/presentation/d/1YUYJ9YpdbxlX23EfzJxlQgh0mP1Fuj_eQXCr8Apa2ks/edit?usp=sharing_eil&ts=5923e40a

Priyanka A.

0 0
0
Time and Work basics ( part 1) shortcut
If A completed the work in 4 days and B completed the same work in 5 days. How many days will they take on working together? Answer: Let total work is (lcm of 4 and 5) = 20 A's work in 1...

Saurabh Gaur

0 0
0

Recommended Articles

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

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 >

Quest Academy - Institute of the month

Quest Academy is a professional Bangalore based NEET and JEE (Main + Advanced) training institute. The academy was incorporated in 2015 to cater to the needs of students, who aim to crack competitive exams by connecting with the best brains around. The institute helps students enhance their skills and capabilities through...

Read full article >

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 >

Find Class 10 Tuition near you
Class 10 Tuition in Delhi
Class 10 Tuition in Bangalore
Class 10 Tuition in Hyderabad
Class 10 Tuition in Kolkata
Class 10 Tuition in Mumbai
Class 10 Tuition in Chennai
Class 10 Tuition in Pune
Class 10 Tuition in Noida
Class 10 Tuition in Lucknow
Class 10 Tuition in Jaipur

Looking for Class 10 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 10 Tuition Classes?

The best tutors for Class 10 Tuition Classes are on UrbanPro

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

Take Class 10 Tuition with the Best Tutors

The best Tutors for Class 10 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 © 2010-2024All Rights Reserved