A box contains balls of two sizes big and small and different colors. When one ball is chosen at random from the box, the probability that the ball is blue is 14. What is the probability that the chosen ball is neither blue nor small?(1) The probability that the chosen ball is not small is5/8(2) The probability that the chosen ball is small but not blue is9/40a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer?

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A box contains balls of two sizes – big and small – and different colors. When one ball is chosen at random from the box, the probability that the ball is blue is 14

. What is the probability that the chosen ball is neither blue nor small?

(1) The probability that the chosen ball is not small is 5/8

(2) The probability that the chosen ball is small but not blue is 9/40

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 to answer the question asked.
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 specific to the problem are needed.

Correct answer is option 'B'. Can you explain this answer?

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A box contains balls of two sizes – big and small – and di...

Steps 1 & 2: Understand Question and Draw Inferences

Given:

The balls in a box are defined by 2 attributes:
- Size – Small or Big
- Color – Blue or Not Blue
P(Blue ball) = 1/4

This means, P(Not Blue ball) =
- (since there are only 2 possibilities - a ball is either Blue or Not blue)
To find: The probability of choosing a ball that is neither blue nor small
Let this probability be X
So, we can represent the given information in a matrix form as below:
Step 3: Analyze Statement 1 independently
The probability that the chosen ball is not small is 58
This means, P(Small) = (since there are only 2 possibilities – a ball is either small or not small)
As is clear from the table, we’ve not been able to determine the value of X. So, Statement 1 is not sufficient.

(Note: You may have marked Statement 1 to be sufficient because you thought that:
P(Not Small Not Blue) = P(Not Small)*P(Not Blue)
And, since Statement 1 provides P(Not small), this statement was sufficient.
The catch here, is that Blue and Small are attributes of the same ball. So, these are not independent attributes.

The equation P(Not Small Not Blue) = P(Not Small)*P(Not Blue) would have been correct if the question had stated that there were 2 boxes. In one box, the balls are defined by only their color – they are either blue or not blue. In the second box, they are defined by only their size – small or not small. You have to pick one ball from each box. So, what is the probability that you pick a Not Blue ball from the 1^st box and a Not Small box from the 2^nd box. This is the scenario where the equation mentioned in this note would be applicable)

Step 4: Analyze Statement 2 independently
The probability that the chosen ball is small but not blue is 9/40
Let’s represent this information in the matrix:
This is a linear Equation with only one unknown.

So, it is sufficient to find a unique value of X.

Step 5: Analyze Both Statements Together (if needed)

Since we’ve already arrived at a unique answer in Step 4, this step is not required

Answer: Option B

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A box contains balls of two sizes – big and small – and di...

Understanding the Problem:
Given that the probability of choosing a blue ball is 1/4. We need to find the probability of choosing a ball that is neither blue nor small.

Statement 1: The probability that the chosen ball is not small is 5/8.
This statement alone does not provide information about the probability of choosing a blue ball. It only tells us about the probability of choosing a ball that is not small. Therefore, this statement alone is not sufficient to answer the question.

Statement 2: The probability that the chosen ball is small but not blue is 9/40.
This statement only provides information about the probability of choosing a small ball that is not blue. It does not provide information about the probability of choosing a blue ball. Therefore, this statement alone is not sufficient to answer the question.

Combining Statements 1 and 2:
From statement 1, we know the probability of choosing a ball that is not small is 5/8.
From statement 2, we know the probability of choosing a small but not blue ball is 9/40.
If we combine these two statements, we can deduce that the probability of choosing a ball that is either big or not blue is 1 - (9/40) = 31/40.
Therefore, combining both statements gives us the probability of choosing a ball that is neither blue nor small, which makes both statements together sufficient to answer the question.
Therefore, the correct answer is option B.

Answered by Talent Skill Learning · View profile

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A box contains balls of two sizes – big and small – and different colors. When one ball is chosen at random from the box, the probability that the ball is blue is 14. What is the probability that the chosen ball is neither blue nor small?(1) The probability that the chosen ball is not small is5/8(2) The probability that the chosen ball is small but not blue is9/40a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer?

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A box contains balls of two sizes – big and small – and different colors. When one ball is chosen at random from the box, the probability that the ball is blue is 14. What is the probability that the chosen ball is neither blue nor small?(1) The probability that the chosen ball is not small is5/8(2) The probability that the chosen ball is small but not blue is9/40a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'B'. 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 contains balls of two sizes – big and small – and different colors. When one ball is chosen at random from the box, the probability that the ball is blue is 14. What is the probability that the chosen ball is neither blue nor small?(1) The probability that the chosen ball is not small is5/8(2) The probability that the chosen ball is small but not blue is9/40a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'B'. 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 contains balls of two sizes – big and small – and different colors. When one ball is chosen at random from the box, the probability that the ball is blue is 14. What is the probability that the chosen ball is neither blue nor small?(1) The probability that the chosen ball is not small is5/8(2) The probability that the chosen ball is small but not blue is9/40a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer?.

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What is the probability that the chosen ball is neither blue nor small?(1) The probability that the chosen ball is not small is5/8(2) The probability that the chosen ball is small but not blue is9/40a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A box contains balls of two sizes – big and small – and different colors. When one ball is chosen at random from the box, the probability that the ball is blue is 14. What is the probability that the chosen ball is neither blue nor small?(1) The probability that the chosen ball is not small is5/8(2) The probability that the chosen ball is small but not blue is9/40a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'B'. 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What is the probability that the chosen ball is neither blue nor small?(1) The probability that the chosen ball is not small is5/8(2) The probability that the chosen ball is small but not blue is9/40a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A box contains balls of two sizes – big and small – and different colors. When one ball is chosen at random from the box, the probability that the ball is blue is 14. What is the probability that the chosen ball is neither blue nor small?(1) The probability that the chosen ball is not small is5/8(2) The probability that the chosen ball is small but not blue is9/40a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A box contains balls of two sizes – big and small – and different colors. When one ball is chosen at random from the box, the probability that the ball is blue is 14. What is the probability that the chosen ball is neither blue nor small?(1) The probability that the chosen ball is not small is5/8(2) The probability that the chosen ball is small but not blue is9/40a)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 to answer the question asked.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 specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.

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