Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > From an urn containing 3 red and 2 white ball...
Start Learning for Free
From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).
Correct answer is '32'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
From an urn containing 3 red and 2 white balls, a man is to draw 2 bal...
A man is to draw 2 balls at random without replacement.
Probability to draw 2 red balls 
Probability to draw 2 white balls
Probability to draw one red ball and one white ball =
Let X be the random variable and it shows the money he earn.
Expectation =
Probability to draw 2 white balls
Probability to draw one red ball and one white ball =
Let X be the random variable and it shows the money he earn.
Expectation =
Most Upvoted Answer
From an urn containing 3 red and 2 white balls, a man is to draw 2 bal...
Solution:
The probability of drawing a red ball in the first attempt is 3/5 and the probability of drawing a white ball is 2/5.
After the first draw, there will be 2 red balls and 1 white ball left in the urn.
If a red ball was drawn in the first attempt, the probability of drawing another red ball in the second attempt is 2/4 (as there will be 2 red balls and 2 white balls left in the urn), and the probability of drawing a white ball is 2/4.
If a white ball was drawn in the first attempt, the probability of drawing a red ball in the second attempt is 2/4, and the probability of drawing another white ball is 1/4.
Now, let's calculate the expected value:
- Probability of drawing two red balls: (3/5) * (2/4) = 3/10
- Probability of drawing one red and one white ball: (3/5) * (2/4) + (2/5) * (2/4) = 4/10
- Probability of drawing two white balls: (2/5) * (1/4) = 1/10
Expected value = (3/10) * 20 + (4/10) * 15 + (1/10) * 20 = 32
Therefore, the man's expectation is Rs. 32.
The probability of drawing a red ball in the first attempt is 3/5 and the probability of drawing a white ball is 2/5.
After the first draw, there will be 2 red balls and 1 white ball left in the urn.
If a red ball was drawn in the first attempt, the probability of drawing another red ball in the second attempt is 2/4 (as there will be 2 red balls and 2 white balls left in the urn), and the probability of drawing a white ball is 2/4.
If a white ball was drawn in the first attempt, the probability of drawing a red ball in the second attempt is 2/4, and the probability of drawing another white ball is 1/4.
Now, let's calculate the expected value:
- Probability of drawing two red balls: (3/5) * (2/4) = 3/10
- Probability of drawing one red and one white ball: (3/5) * (2/4) + (2/5) * (2/4) = 4/10
- Probability of drawing two white balls: (2/5) * (1/4) = 1/10
Expected value = (3/10) * 20 + (4/10) * 15 + (1/10) * 20 = 32
Therefore, the man's expectation is Rs. 32.
Attention Computer Science Engineering (CSE) Students!
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Similar Computer Science Engineering (CSE) Doubts
Top Courses for Computer Science Engineering (CSE)View all
From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).Correct answer is '32'. Can you explain this answer?
Question Description
From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).Correct answer is '32'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).Correct answer is '32'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).Correct answer is '32'. Can you explain this answer?.
From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).Correct answer is '32'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).Correct answer is '32'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).Correct answer is '32'. Can you explain this answer?.
Solutions for From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).Correct answer is '32'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).Correct answer is '32'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).Correct answer is '32'. Can you explain this answer?, a detailed solution for From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).Correct answer is '32'. Can you explain this answer? has been provided alongside types of From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).Correct answer is '32'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice From an urn containing 3 red and 2 white balls, a man is to draw 2 balls at random without replacement, being promised Rs. 20 for each red ball he draws and Rs. 10 for each white one. Find his expectation (In rupees).Correct answer is '32'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup