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

Find the product: (x – 3y) (x + 3y) (x2 + 9y2)
The product of the first two terms is x^2 - 9y^2. The third term is x^2 + 9y^2 So the final product is x^4 - 81y^4
Sowmitra
0 0
5
What is current?
Current is rate of flow of charges in particular time. It may be flow of electron or flow of Proton. Because in Semi Conductors current get flow because of movement of positive charges too.
Ashish
What is the formula for Harmonic mean?
Harmonic Mean of 'a' & 'b' is = 2ab / ( a+b )
Himangi
What is the tyndal effect?
The Tyndall effect, also known as Tyndall scattering, is light scattering by particles in a colloid or particles in a fine suspension. It is named after the 19th-century physicist John Tyndall. It is similar...
Rahul Jaiswal
How much one can charge for class 1- 10th for subjects maths, science, Hindi, Eng, Sanskrit, SST, computer
Only French Rs 200 per hour, only English Rs. 180 per hour, only Hindi Rs. 180per hour.
Mamta Mund

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

Ask a Question

Related Lessons

Learn something new
There are a lot of good, practical reasons to make learning something new a part of your daily routine, but the best reason has nothing to do with practicality — we are learning creatures, and the...
K

Kamlesh Karki

0 0
0
Acid, Base and Salts
The reaction of an acid with a base to produce only salt and water is called a neutralization reaction. Acids Acids are sour in taste. If hydronium ions are found in a solution, the solution is acidic...

Tejas Academy Centre

1 0
0
दीर्घ सन्धि
दीर्घ संधि सूत्र- अक: सवर्णे दीर्घः अर्थात् अक् प्रत्याहार के बाद उसका सवर्ण आये तो दोनो मिलकर दीर्घ बन जाते हैं। ह्रस्व या दीर्घ अ, इ, उ के बाद यदि ह्रस्व या दीर्घ अ, इ, उ आ जाएँ तो दोनों मिलकर दीर्घ...

Arun

1 0
0
Answer writing skills for the final examination
Dear Students,Answer writing for the final examination is explained clearly in the videos so please watch the video and also subscribe for the channel for more examination techniques.

Tuition

0 0
0
Sanskrit Shloka With Explanation Class 9th

Sonal M.

0 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