Quant Exam > Quant Questions > An urn contain 6 orange, 4 green,3 pink and 4...
Start Learning for Free
An urn contain 6 orange, 4 green,3 pink and 4 black balls
Q.
If 3 balls are picked at random, what is the probability that all are pink ?
- a)2/650
- b)1/680
- c)4/630
- d)3/680
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls...
17C3 = 17*16*15/3*2*1 = 4080/6 = 680
3C3 = 1
P = 1/680
3C3 = 1
P = 1/680
Most Upvoted Answer
An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls...
Given:
- Total number of balls in the urn = 6 (orange) + 4 (green) + 3 (pink) + 4 (black) = 17
To find:
- Probability of picking all pink balls when 3 balls are chosen at random
Solution:
To find the probability of picking all pink balls, we need to find the number of favorable outcomes (i.e., picking all pink balls) and the total number of possible outcomes.
Step 1: Finding the number of favorable outcomes:
Since we need to pick all pink balls, we can only choose from the 3 pink balls available in the urn.
Therefore, the number of ways to choose 3 pink balls from the 3 available is given by:
C(3,3) = 1 (where C(n,r) represents the number of combinations of n items taken r at a time)
Step 2: Finding the total number of possible outcomes:
The total number of ways to choose any 3 balls from the 17 balls in the urn is given by:
C(17,3) = (17!)/(3!(17-3)!) = 680
Step 3: Calculating the probability:
The probability of picking all pink balls is given by:
Probability = (Number of favorable outcomes)/(Total number of possible outcomes)
Probability = 1/680
Therefore, the correct answer is option B) 1/680.
- Total number of balls in the urn = 6 (orange) + 4 (green) + 3 (pink) + 4 (black) = 17
To find:
- Probability of picking all pink balls when 3 balls are chosen at random
Solution:
To find the probability of picking all pink balls, we need to find the number of favorable outcomes (i.e., picking all pink balls) and the total number of possible outcomes.
Step 1: Finding the number of favorable outcomes:
Since we need to pick all pink balls, we can only choose from the 3 pink balls available in the urn.
Therefore, the number of ways to choose 3 pink balls from the 3 available is given by:
C(3,3) = 1 (where C(n,r) represents the number of combinations of n items taken r at a time)
Step 2: Finding the total number of possible outcomes:
The total number of ways to choose any 3 balls from the 17 balls in the urn is given by:
C(17,3) = (17!)/(3!(17-3)!) = 680
Step 3: Calculating the probability:
The probability of picking all pink balls is given by:
Probability = (Number of favorable outcomes)/(Total number of possible outcomes)
Probability = 1/680
Therefore, the correct answer is option B) 1/680.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls are picked at random, what is the probability that all are pink ?a)2/650b)1/680c)4/630d)3/680Correct answer is option 'B'. Can you explain this answer?
Question Description
An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls are picked at random, what is the probability that all are pink ?a)2/650b)1/680c)4/630d)3/680Correct 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 An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls are picked at random, what is the probability that all are pink ?a)2/650b)1/680c)4/630d)3/680Correct 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 An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls are picked at random, what is the probability that all are pink ?a)2/650b)1/680c)4/630d)3/680Correct answer is option 'B'. Can you explain this answer?.
An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls are picked at random, what is the probability that all are pink ?a)2/650b)1/680c)4/630d)3/680Correct 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 An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls are picked at random, what is the probability that all are pink ?a)2/650b)1/680c)4/630d)3/680Correct 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 An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls are picked at random, what is the probability that all are pink ?a)2/650b)1/680c)4/630d)3/680Correct answer is option 'B'. Can you explain this answer?.
Solutions for An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls are picked at random, what is the probability that all are pink ?a)2/650b)1/680c)4/630d)3/680Correct 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 An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls are picked at random, what is the probability that all are pink ?a)2/650b)1/680c)4/630d)3/680Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls are picked at random, what is the probability that all are pink ?a)2/650b)1/680c)4/630d)3/680Correct answer is option 'B'. Can you explain this answer?, a detailed solution for An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls are picked at random, what is the probability that all are pink ?a)2/650b)1/680c)4/630d)3/680Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls are picked at random, what is the probability that all are pink ?a)2/650b)1/680c)4/630d)3/680Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An urn contain 6 orange, 4 green,3 pink and 4 black ballsQ. If 3 balls are picked at random, what is the probability that all are pink ?a)2/650b)1/680c)4/630d)3/680Correct 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