UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review 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 12 Tuition from the Best Tutors

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

Book a Free Demo

Class 12 Tuition > Learn Class XI-XII Tuition (PUC) > A card from a pack of 52 cards is lost. From remaining...
✕

Search in

A card from a pack of 52 cards is lost. From remaining cards of the pack, two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond?

Asked by Last Modified  

6 Answers

Learn Class XI-XII Tuition (PUC)

Follow 0
Answer

Please enter your answer

Tutor

The number of ways to choose 2 diamonds cards if the lost card was a diamond = 12C2/51C2. The number of ways to choose 2 diamonds cards if the lost card was not a diamond = 3* 13C2/51C2. probability of getting any one suit is 1/4 thus using Bayes' theorem 1/4 * / + 1/4 *3* ] Cancelling...
read more
The number of ways to choose 2 diamonds cards if the lost card was a diamond = 12C2/51C2. The number of ways to choose 2 diamonds cards if the lost card was not a diamond = 3* 13C2/51C2. probability of getting any one suit is 1/4 thus using Bayes' theorem 1/4 * [12C2/51C2]/ [1/4 * [12C2/51C2] + 1/4 *3* [13C2/51C2]] Cancelling 1/4 and 51C2 from numerator and denominator = 12C2/ [12C2+(3 * 13C2)] = 66/300 = 11/50 read less
Comments
Dislike Bookmark

Software engineer

Let E1 be the event that the lost card is a diamond. Given that there are 13 diamonds in the deck, P(E1) = 13/52=14 Let E2 be the event that the lost card is not a diamond. P(E2) =1 - 13/52=39/52=34 Let A be the event that the two cards drawn are found to be both diamonds. We need to calculate P (2...
read more
Let E1 be the event that the lost card is a diamond. Given that there are 13 diamonds in the deck, P(E1) = 13/52=14 Let E2 be the event that the lost card is not a diamond. P(E2) =1 - 13/52=39/52=34 Let A be the event that the two cards drawn are found to be both diamonds. We need to calculate P (2 cards are both diamond w the lost card being a diamond) next. Given 13 diamond cards, if one is lost, then we have 12 remaining diamonds out of 51 total cards now. The two cards that are both diamond can be drawn in 12C2=12*11/1*2=13*22 = 66 ways. Likewise, the two diamonds can be drawn from the pack of 51 remaining cards in 51C2=51*50/1*2=25502 = 1275 ways. Therefore, the P (2 cards drwan are diamond given one is lost) = P (A|E1) = 66/1275 Now, consider the event where the two cards drawn are both diamonds but the lost card is not a diamond. The two cards that are both diamond can be drawn in 13C2=13*12/1*2=1562 = 78ways. Likewise, the two diamonds can be drawn from the pack of 51 remaining cards in 51C2=51*50/1*2=2550/2 = 1275 ways. Therefore, the P (2 cards drwan are diamond given one card which is not a diamond is lost) = P (A|E1) = 78/1275 We need to calcuate the probability that the lost card is a diamond. P (E1|A). We can use Baye's theorem, according to which P(E1|A)=P(E1)(P(A|E1)/P(E1)P(A|E1)+P(E2)P(A|E2) P(E1|A) = ((66/1275).(1/4))/((66/1275).(1/4))+((78/1275).(3/4))=66/(66+78*3)=66/300=11/50 read less
Comments
Dislike Bookmark

GMAT Math Expert

If the lost card is diamond, we are left with 12 cards that are diamonds. So 2 cards can be selected out 12 diamond cards in 12C2 ways and 2 cards can be selected from total number of cards in 51C2 ways (one card is lost). Probability = 12C2/51C2
Comments
Dislike Bookmark

Graduate

12C2/51C2
Comments
Dislike Bookmark

Data Analytics & Advanced Statistics Tutor with 18 years of experience in teaching

By applying baye's rule,required probability is 11/50.
Comments
Dislike Bookmark

12C2/51C2
Comments
Dislike Bookmark

View 4 more Answers

Related Questions

Please suggest one of best book for for Geography.
NCERT 11th and 12th for good understanding
Kumar Upendra Akshay
2 0
9
A die is thrown repeatedly until 6 comes up. What is the sample space for the experiment?
The sample space is infinite here in this case. The face value 6 can comes up at any trial. The sample space will be like {6, 16, 26, 36, 46, 56, 116, ......... }
Kumar Upendra Akshay
If student not studying well beating or caning punishment is necessary because my sum students egreed because of punishment they achieved good score in class
Punishing the child is not correct, make learning fun,and change your teaching style,be friendly with your students
Vishnu
Why density of Ice is lesser than water?
The main reason why the density of ice is lesser than that of water is because of its crystal structure. Four hydrogen atoms tetrahedrally surround each oxygen atom in the ice. Two of the hydrogen atoms...
Bitu
If 1 A current is flowing through a series circuit having 100 resistors of each having resistance of 1 ?. What will be the current in the circuit where, these 100 resistors are connected in parallel? a.)10 A. b.)100 A. c.)1000 A. d.)10000 A.
Option D.
Kumar Upendra Akshay
0 0
9

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

Ask a Question

Related Lessons

Qualifications and Appointment of Supreme Court Judges in India
The Supreme court Judges in India are appointed by the President on the advice of his Council of Ministers and in consultation with such persons as he deems fit. In the appointment of the Chief Justice,...
D

Deepa

1 0
0
For IIT/NEET Aspirants Class 12 Chemistry - Thermodynamics For a Cyclic Process.
In a cyclic process,the system starts and returns to the same thermodynanic state.The total internal - energy change in any cyclic process is zero. The net work involved is the enclosed area on the P...

Nidhi

0 0
0
Effective study habits
Effective study Habits, we are creature of our habits. Substitute bad habits of learning with good habits of learning. Right attitude. Approach the material you are studying with right attitude. Get...

Sunil

2 0
2
Math's Formulas
Dear Students, We all know that one small sign or number makes big difference in Mathematics answers. Instead of by Harding formulas, try to understand how it has been derived then you never forgot it.

Padmavathy

0 0
0
feed your brain to improve concentration
1. never try to study when you are pysicslly weak.if your brain is not fresh enough you cannot concentrate. 2. drink lots of water to keep your brain fresh. 3. just before every learning session drink one glass of water

Elizabeth

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 Radhe Shyam Burman, an MBA Tutor from...

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 >

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 Urmila, an MBBS tutor from Bangalore

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 >

Find Grade 12 Tuition near you
Grade 12 Tuition in Delhi
Grade 12 Tuition in Bangalore
Grade 12 Tuition in Chennai
Grade 12 Tuition in Hyderabad
Grade 12 Tuition in Kolkata
Grade 12 Tuition in Mumbai
Grade 12 Tuition in Pune
Grade 12 Tuition in Lucknow
Grade 12 Tuition in Noida
Grade 12 Tuition in Gurgaon
Online Tuition Class 12

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

ThinkVidya Learning Pvt Ltd © 2010-2026 All Rights Reserved