Quant Exam > Quant Questions > From a pack of cards, if three cards are draw...
Start Learning for Free
From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?
- a)16/7725
- b)16/5525
- c)18/5524
- d)64/5515
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
From a pack of cards, if three cards are drawn at random one after the...
(4c1 + 4c1 + 4c1)/(52c3)
Most Upvoted Answer
From a pack of cards, if three cards are drawn at random one after the...
To find the probability that one card is an ace, one card is a jack, and one card is a queen, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of outcomes:
When drawing a card with replacement, there are 52 possible outcomes for each card drawn. Therefore, the total number of possible outcomes for drawing three cards with replacement is 52 x 52 x 52 = 140,608.
Number of favorable outcomes:
To determine the number of favorable outcomes, we need to consider the different possibilities for the arrangement of the ace, jack, and queen.
1. Ace, jack, queen: There are 4 aces, 4 jacks, and 4 queens in a deck of cards. The probability of drawing an ace, a jack, and a queen in any order is (4/52) x (4/52) x (4/52) = 64/140,608.
2. Jack, queen, ace: Similarly, the probability of drawing a jack, a queen, and an ace in any order is also 64/140,608.
3. Queen, ace, jack: The probability of drawing a queen, an ace, and a jack in any order is also 64/140,608.
Therefore, the total number of favorable outcomes is 64 + 64 + 64 = 192.
Probability calculation:
The probability is given by the ratio of favorable outcomes to total outcomes.
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 192 / 140,608
Probability = 16 / 11,032
Simplifying the fraction, we get:
Probability = 16 / 11,032 = 4 / 2,758 = 2 / 1,379
Therefore, the correct answer is option B) 16/5525.
Total number of outcomes:
When drawing a card with replacement, there are 52 possible outcomes for each card drawn. Therefore, the total number of possible outcomes for drawing three cards with replacement is 52 x 52 x 52 = 140,608.
Number of favorable outcomes:
To determine the number of favorable outcomes, we need to consider the different possibilities for the arrangement of the ace, jack, and queen.
1. Ace, jack, queen: There are 4 aces, 4 jacks, and 4 queens in a deck of cards. The probability of drawing an ace, a jack, and a queen in any order is (4/52) x (4/52) x (4/52) = 64/140,608.
2. Jack, queen, ace: Similarly, the probability of drawing a jack, a queen, and an ace in any order is also 64/140,608.
3. Queen, ace, jack: The probability of drawing a queen, an ace, and a jack in any order is also 64/140,608.
Therefore, the total number of favorable outcomes is 64 + 64 + 64 = 192.
Probability calculation:
The probability is given by the ratio of favorable outcomes to total outcomes.
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 192 / 140,608
Probability = 16 / 11,032
Simplifying the fraction, we get:
Probability = 16 / 11,032 = 4 / 2,758 = 2 / 1,379
Therefore, the correct answer is option B) 16/5525.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?a)16/7725b)16/5525c)18/5524d)64/5515e)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?a)16/7725b)16/5525c)18/5524d)64/5515e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?a)16/7725b)16/5525c)18/5524d)64/5515e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?a)16/7725b)16/5525c)18/5524d)64/5515e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?a)16/7725b)16/5525c)18/5524d)64/5515e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?a)16/7725b)16/5525c)18/5524d)64/5515e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?a)16/7725b)16/5525c)18/5524d)64/5515e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?a)16/7725b)16/5525c)18/5524d)64/5515e)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?a)16/7725b)16/5525c)18/5524d)64/5515e)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?a)16/7725b)16/5525c)18/5524d)64/5515e)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?a)16/7725b)16/5525c)18/5524d)64/5515e)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?a)16/7725b)16/5525c)18/5524d)64/5515e)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice From a pack of cards, if three cards are drawn at random one after the other with replacement, find the probability that one is ace, one is jack and one is queen?a)16/7725b)16/5525c)18/5524d)64/5515e)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
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