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

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

How did the spread of electricity help farmers in Palampur?
(i) Most of the houses in Palampur have electric connections. (ii) Electricity powers all the tube wells in the fields that help to irrigate much larger areas of land more effectively as compared to...
Varsha
What I should do study for coming in merit list of 10th board exam?
Determination and regularity are key points. Make plan, make small achievable goal and do it for that. Make schedule of daily and must follow with giving them high preference.
Hole
A coin is thrown once. Find the probability of getting a head.
1/2 or half
Manchala
0 0
7
In which layer of the atmosphere ozone layer is located?
Ozone is mainly found in two regions of the Earth's atmosphere. Most ozone (about 90%) resides in a layer that begins between 10 and 17 kilometers above the Earth's surface and extends up to about 50...
Prabhu
What are Special Economic Zones? Why have they been set up?
SEZs are special economic zones where world class facilities like water, electricity, roads and transport, recreation, education are available. They have been set up to promote foreign companies to invest...
Neha
0 0
7

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

Ask a Question

Related Lessons

Company Secretary (CS)
Who should one do CS? Any person interested in legal matters / strategical matters should do it.

Auxano Edutech Llp

0 0
0
Probability
Probability is the possibility of an event to be occurred or happened. Probability is the ratio of the number of favorable events with the total number of events. An event which is definitely...
M

Mohit S.

1 0
0
Maths Problem will not be a problem ,because
Dear Students , When I was in school I was bit lazy and didnt try to solve the question , just look at its concept and move on. and as a result of which I lost 8 marks to 100 , and also not able to meet...

Amit Joshi

0 0
0
Lighting Fast Way To Find Square Of A Number
To find squares of numbers near to bases i.e numbers near to 10/100/1000.. we can use Yavadunam Tavadunikritya Varganca Yojayet.Rule: whatever the deficiency from the base, subtract that deficit from the...

Debraj Paul

0 0
0
How to find 95% of 2400 =? in 1 sec
How to find 95% of 2400 =? Break it up into friendly parts/numbers. So break it 2 parts- 100% and 5%. The 100% of 2400 does not change. So, 100% of 2400=2400 and 5% of 2400=? To find 5%, take 10% and...

Debraj Paul

3 0
0

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 Chennai
Class 10 Tuition in Mumbai
Class 10 Tuition in Pune
Class 10 Tuition in Noida
Class 10 Tuition in Lucknow
Class 10 Tuition in Gurgaon
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