UrbanPro

Take Class 12 Tuition from the Best Tutors

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

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  

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

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

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

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

Headstart to assured 95+ score in math

(16x15x14) / (100x99x98)
Comments

Headstart to assured 95+ score in math

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

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

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

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

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

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

View 15 more Answers

Related Lessons

Did you know?
PERIODIC TABLE- Periodic Laws- Genesis of Periodic Classification After the proposal of John Dalton's Atomic Theory, the scientists took Atomic Weight as the important property of element and tried...

Vedic Mathematics for Multiplication of two 2-digited special numbers
In case of two 2-digited numbers whose digits in 10's place are same and sum of the digits in unit places is 10 For example:- 38 and 32 (10's place digits are equal and 8+2=10) 38×32 can be found...
N

Naimish K.

0 0
1

OAA
I suggest a writing tip called OAA which means Observe Analyse and Apply. one will find it easy to answer any question if you follow this trip


Motion
We see many things around as moving. For example a moving bus, a car or dying birds- all are moving. We can see them directly. Apart from this air is also moving but we can not see it moving. But we get...

Recommended Articles

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 >

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 >

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 >

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 >

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