UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review All Categories 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

12C2/51C2
Comments
Dislike Bookmark

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

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

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

Graduate

12C2/51C2
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

View 4 more Answers

Related Questions

What is the value of Sec360?
Sec (360) = 1/Cos(360)=1/COS0=1/1=1
Ramana
what is the formula of acceleration?
Formula for acceleration: final velocity minus initial velocity over time. a = ?v/?t = (vfinal - vinitial) / (tfinal - tinitial) in words, acceleration equals the difference of the final velocity...
Anjali
Once the heat is transferred to an object, it is converted into the __________. (Entropy of the object, Internal energy of the object, Temperature of the object, None of these)
Whenever heat transfer takes place the internal energy of the object changes. The nature of the change i.e. increase or decrease depends on whether the heat was added or removed from the object. This is...
Narendra Kumar
0 0
7
Evaluate: 5! - 2!?
118.
Neelima
0 0
6
What is chemical bond? Do you know about polarisability?
When two oppositely charged ions (say A+ and B- ) approach each other the positive ion attracts electrons on the outermost shell of the anion and repels its positively charged nucleus. This results in...
Sharmila

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

Ask a Question

Related Lessons

Nature and Significance of Principles of Management-HSC | Class 12
OC/OCM, Business Studies - Nature of Principles of Management | Significance of Principles of Management

Rajiv Vadera

1 0
0
Difference between Reserve Capital and Capital Reserve
Students often make a mistake and are generally confused about the Reserve Capital and Capital Reserve. Both of these terms though sound similar but are totally different. Here is the core difference...
A

Ayushman Verma

0 0
0
Superposition Principle Of Forces: Physics
Here I am going to explain superposition principle of forces with an heuristic approach. Let us do a simple experiment. See the above image. Suppose an object of heavy mass is pulled up by a person...
M

Muthumanimaran

0 0
0
Worksheet For Alcohols, Phenols And Ethers
Worksheet Alcohols, Phenols And Ethers: 1. Give the structure of 1,2-dimethoxy methane and 2-ethoxy-1,1-dimethylcyclohexane. (1m) 2. Give the name of alkyl halide and sodium alkoxide used to synthesis...

Ameer Khan

0 0
0
On GST road, There’s No Checking India
The ‘One Nation One Tax’ slogan isn’t just about uniform rate, it is also about removing check posts at borders, which often clog traffic for hours, delaying shipment of goods. While...
F

FR Prashanth Reddy

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 PUC Tuition near you
PUC Tuition in Delhi
PUC Tuition in Bangalore
PUC Tuition in Hyderabad
PUC Tuition in Kolkata
PUC Tuition in Mumbai
PUC Tuition in Chennai
PUC Tuition in Pune
PUC Tuition in Jaipur
PUC Tuition in Lucknow
PUC Tuition in Noida
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 © 2010-2024All Rights Reserved