GMAT Exam > GMAT Questions > A box has at least one ball of each of the co...
Start Learning for Free
A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?
(1) There are 5 balls in the box.
(2) The number of green balls is greater than the number of blue balls.
(2) The number of green balls is greater than the number of blue balls.
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
- d)EACH statement ALONE is sufficient to answer the question asked;
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
Correct answer is option 'E'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A box has at least one ball of each of the colors red, green, and blue...
We are given that the box has balls of three different colors - red, blue and green, and the number of balls of each color is at least one in count. Thus, the minimum number of balls in the box = 3.
Let's understand what the question asks.
When one ball is drawn,
Is "(Probability of drawing a red ball) = (Probability of drawing a blue ball) ≠ (Probability of drawing a green ball)"
Say, the probability of drawing a red ball = p(r); the probability of drawing a blue ball = p(b); and the probability of drawing a green ball = p(g).
The question asks,
Is p(r) = p(b) ≠ p(g)?
So, the question boils down to:
"Does the box has the number of red color balls equal to the number of blue color balls but NOT equal to the number of green color balls?"
Statement 1:
There are 5 balls in the box.
Let's distribute them in three color balls such that we have at least one ball of each color.
Scenario 1: Red color: 1 ball; Blue color: 1 ball; and Green color: 3 balls.
We have the number of red color balls equal to the number of blue color balls, and NOT equal to the number of green color balls; the answer is Yes.
Scenario 2: Red color: 2 ball; Blue color: 1 ball; and Green color: 2 balls.
We have the number of red color balls NOT equal to the number of blue color balls, but equal to the number of green color balls; the answer is No.
No unique answer. Insufficient.
Note: Other scenarios are possible too but we do not need to consider them all because from just two scenarios, we can already see that Statement 1 is not sufficient for a unique answer.
Statement 2:
Only with this information, we can decide that the probability that the drawn ball is green is NOT equal to the probability that the drawn ball is blue; however, we have no clue about the number of red balls; number of red balls may or may not be equal to number of blue balls. Insufficient.
Statement 1 & 2:
Both the scenarios discussed in Statement 1 are applicable here too. Insufficient.
Had Statement 2 been, "The number of green color balls is greater than the number of blue balls and greater than the number of red balls," Scenario 2 would not have been applicable here, thus the answer would then be C.
Free Test
FREE
| Start Free Test |
Community Answer
A box has at least one ball of each of the colors red, green, and blue...
We are given that the box has balls of three different colors - red, blue and green, and the number of balls of each color is at least one in count. Thus, the minimum number of balls in the box = 3.
Let's understand what the question asks.
When one ball is drawn,
Is "(Probability of drawing a red ball) = (Probability of drawing a blue ball) ≠ (Probability of drawing a green ball)"
Say, the probability of drawing a red ball = p(r); the probability of drawing a blue ball = p(b); and the probability of drawing a green ball = p(g).
The question asks,
Is p(r) = p(b) ≠ p(g)?
So, the question boils down to:
"Does the box has the number of red color balls equal to the number of blue color balls but NOT equal to the number of green color balls?"
Statement 1:
There are 5 balls in the box.
Let's distribute them in three color balls such that we have at least one ball of each color.
Scenario 1: Red color: 1 ball; Blue color: 1 ball; and Green color: 3 balls.
We have the number of red color balls equal to the number of blue color balls, and NOT equal to the number of green color balls; the answer is Yes.
Scenario 2: Red color: 2 ball; Blue color: 1 ball; and Green color: 2 balls.
We have the number of red color balls NOT equal to the number of blue color balls, but equal to the number of green color balls; the answer is No.
No unique answer. Insufficient.
Note: Other scenarios are possible too but we do not need to consider them all because from just two scenarios, we can already see that Statement 1 is not sufficient for a unique answer.
Statement 2:
Only with this information, we can decide that the probability that the drawn ball is green is NOT equal to the probability that the drawn ball is blue; however, we have no clue about the number of red balls; number of red balls may or may not be equal to number of blue balls. Insufficient.
Statement 1 & 2:
Both the scenarios discussed in Statement 1 are applicable here too. Insufficient.
Had Statement 2 been, "The number of green color balls is greater than the number of blue balls and greater than the number of red balls," Scenario 2 would not have been applicable here, thus the answer would then be C.
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?(1) There are 5 balls in the box.(2) The number of green balls is greater than the number of blue balls.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer?
Question Description
A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?(1) There are 5 balls in the box.(2) The number of green balls is greater than the number of blue balls.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?(1) There are 5 balls in the box.(2) The number of green balls is greater than the number of blue balls.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?(1) There are 5 balls in the box.(2) The number of green balls is greater than the number of blue balls.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer?.
A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?(1) There are 5 balls in the box.(2) The number of green balls is greater than the number of blue balls.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?(1) There are 5 balls in the box.(2) The number of green balls is greater than the number of blue balls.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?(1) There are 5 balls in the box.(2) The number of green balls is greater than the number of blue balls.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer?.
Solutions for A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?(1) There are 5 balls in the box.(2) The number of green balls is greater than the number of blue balls.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?(1) There are 5 balls in the box.(2) The number of green balls is greater than the number of blue balls.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?(1) There are 5 balls in the box.(2) The number of green balls is greater than the number of blue balls.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer?, a detailed solution for A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?(1) There are 5 balls in the box.(2) The number of green balls is greater than the number of blue balls.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?(1) There are 5 balls in the box.(2) The number of green balls is greater than the number of blue balls.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A box has at least one ball of each of the colors red, green, and blue and no balls of any other color. If one ball is drawn randomly from the box, is the probability that the drawn ball is red same as the probability that the drawn ball is blue but NOT the same as the probability that the drawn ball is green?(1) There are 5 balls in the box.(2) The number of green balls is greater than the number of blue balls.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT 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