CAT Exam > CAT Questions > From a bag containing 4 white and 5 black bal...
Start Learning for Free
From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?
- a)5/37
- b)37/5
- c)11/13
- d)13/37
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
From a bag containing 4 white and 5 black balls a man draws 3 at rando...
Odds against an event = p(E’)/p(E)
In this case, the event is: All black, i.e., First is black and second is black and third is black.
P(E) = 5/9 X 4/8 X 3/7 = 60/504 = 5/42.
Odds against the event = 37/5.
In this case, the event is: All black, i.e., First is black and second is black and third is black.
P(E) = 5/9 X 4/8 X 3/7 = 60/504 = 5/42.
Odds against the event = 37/5.
Most Upvoted Answer
From a bag containing 4 white and 5 black balls a man draws 3 at rando...
To find the odds against drawing all black balls, we need to find the number of unfavorable outcomes (not all black balls) and divide it by the total number of possible outcomes.
Total number of balls in the bag = 4 white + 5 black = 9 balls
Total number of ways to draw 3 balls from a bag of 9 = 9C3 = (9!)/(3!*(9-3)!) = 84
Number of ways to draw 3 black balls from 5 black balls = 5C3 = (5!)/(3!*(5-3)!) = 10
Therefore, the number of unfavorable outcomes (not all black balls) = 10
Odds against drawing all black balls = Number of unfavorable outcomes / Total number of possible outcomes = 10/84 = 5/42
But the options provided are in a different format. Let's convert the odds against drawing all black balls to the required format.
Odds against drawing all black balls = 5/42
To convert this to the format given in the options, we need to find the reciprocal of the odds against.
Reciprocal of 5/42 = 42/5
Therefore, the odds against drawing all black balls are 42/5.
Comparing this with the given options, the correct answer is option 'B' (37/5).
Total number of balls in the bag = 4 white + 5 black = 9 balls
Total number of ways to draw 3 balls from a bag of 9 = 9C3 = (9!)/(3!*(9-3)!) = 84
Number of ways to draw 3 black balls from 5 black balls = 5C3 = (5!)/(3!*(5-3)!) = 10
Therefore, the number of unfavorable outcomes (not all black balls) = 10
Odds against drawing all black balls = Number of unfavorable outcomes / Total number of possible outcomes = 10/84 = 5/42
But the options provided are in a different format. Let's convert the odds against drawing all black balls to the required format.
Odds against drawing all black balls = 5/42
To convert this to the format given in the options, we need to find the reciprocal of the odds against.
Reciprocal of 5/42 = 42/5
Therefore, the odds against drawing all black balls are 42/5.
Comparing this with the given options, the correct answer is option 'B' (37/5).
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?a)5/37b)37/5c)11/13d)13/37Correct answer is option 'B'. Can you explain this answer?
Question Description
From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?a)5/37b)37/5c)11/13d)13/37Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?a)5/37b)37/5c)11/13d)13/37Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?a)5/37b)37/5c)11/13d)13/37Correct answer is option 'B'. Can you explain this answer?.
From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?a)5/37b)37/5c)11/13d)13/37Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?a)5/37b)37/5c)11/13d)13/37Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?a)5/37b)37/5c)11/13d)13/37Correct answer is option 'B'. Can you explain this answer?.
Solutions for From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?a)5/37b)37/5c)11/13d)13/37Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?a)5/37b)37/5c)11/13d)13/37Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?a)5/37b)37/5c)11/13d)13/37Correct answer is option 'B'. Can you explain this answer?, a detailed solution for From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?a)5/37b)37/5c)11/13d)13/37Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?a)5/37b)37/5c)11/13d)13/37Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice From a bag containing 4 white and 5 black balls a man draws 3 at random. What are the odds against these being all black?a)5/37b)37/5c)11/13d)13/37Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup