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

Sabyasachi Dey

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

Math magician

Shailendar's answer is correct
Comments
Dislike Bookmark

Teaching is my passion!!!!

16/100
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

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

1538415

4/1155
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

Dedicated Teacher With Lots of Teaching Experience In Maths For All Boards

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

View 66 more Answers

Related Questions

Define power of a lens?
Reciprocal of focal length and unit is diopter
Anurag
How we can know that white light consist of 7 colours(VIBGYOR)?
Pass a white light through a prism. If you place a screen at the other side of the prism you will find the seven colours
Ushashree
0 0
View Comments9
What is Balance of Trade? In which situations is it favourable and unfavourable?
Difference between imports and exports is called the balance of trade. The trade is called favourable if exports exceed imports. The trade is unfavorable if imports exceed exports.
Suresh
0 0
View Comments7
What are the measures of central tendency?
Mean, median and Mode are the measures of central tendency.
Sitaram
What is the relation between Mean, Median and Mode?
Mode=3Median-2Mean
Sk

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
View Comments0
Building own study notes
My philosophy has always been in support of active learning by encouraging students to build their own set of study notes u. Many of my students have secured good marks by creating their own notes .I...
D

Deleted U.

0 0
View Comments0
Difference Between Atom and Molecule
An atom is smallest particle in an element that has the properties of the element. It is not possible to breakdown the atom further retaining the properties of the element. Atoms are not visible to the...

Debraj Paul

0 0
View Comments0
Structure Of Fullerence
The correctly suggested the cage structure as shown in the figure and named the molecule Buckminster fullerence after the architect Buckminster Fuller, the inventor of the Geodesic dome, which resembles...

Debraj Paul

0 0
View Comments0
Financial Accounting
Accounting is the art of recording, classifying, summarising in a significant manner regarding money, transaction & events which are at least in part financial interpreting the result thereof. (AICPA...

Rajeshwari M.

3 0
View Comments0

Recommended Articles

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

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 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 >

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
Online Tuition Class 10

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