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A box contains orange, green and blue balls. If one ball is chosen at random from the box, what is the probability that the chosen ball is orange?
(1)  The probability that the chosen ball is blue is one-fourth of the probability that the chosen ball is not blue
(2)  If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is blue
  • 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 'E'. Can you explain this answer?
Verified Answer
A box contains orange, green and blue balls. If one ball is chosen at ...
Given:
  • Let the number of orange, green and blue balls be R, G and B respectively.
To find: P(R)
Step 3: Analyze Statement 1 independently
  • The probability that the chosen ball is blue is one-fourth of the probability that the chosen ball is not blue
But the expression for the probability that the chosen ball is blue =BR+G+B=
  •  We do not know the exact values of R and G. Nor do we know the value of the ratio R:G
  • So, we cannot find a unique value of P(R ) from the above equation.​
Statement 1 is not sufficient to find a unique answer to the question
Step 4: Analyze Statement 2 independently
  • If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is blue
    • Number of orange balls = R – 15
    • Number of blue balls = B
    • Number of green balls = G
    • So, The total number of balls in this case = G + B + (R – 15)
  • Since we do not know the unique values of R and G, we cannot find the value of P(R)
Thus, Statement 2 alone is not sufficient to answer the question
Step 5: Analyze Both Statements Together (if needed)
  • So, total number of balls,
  • So,
  • Since we don’t know the value of R, we cannot find this probability.
  • Therefore, the 2 statements together are also not sufficient to answer the question.
    Answer: Option E
  •  
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Most Upvoted Answer
A box contains orange, green and blue balls. If one ball is chosen at ...
Given:
  • Let the number of orange, green and blue balls be R, G and B respectively.
To find: P(R)
Step 3: Analyze Statement 1 independently
  • The probability that the chosen ball is blue is one-fourth of the probability that the chosen ball is not blue
But the expression for the probability that the chosen ball is blue =BR+G+B=
  •  We do not know the exact values of R and G. Nor do we know the value of the ratio R:G
  • So, we cannot find a unique value of P(R ) from the above equation.​
Statement 1 is not sufficient to find a unique answer to the question
Step 4: Analyze Statement 2 independently
  • If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is blue
    • Number of orange balls = R – 15
    • Number of blue balls = B
    • Number of green balls = G
    • So, The total number of balls in this case = G + B + (R – 15)
  • Since we do not know the unique values of R and G, we cannot find the value of P(R)
Thus, Statement 2 alone is not sufficient to answer the question
Step 5: Analyze Both Statements Together (if needed)
  • So, total number of balls,
  • So,
  • Since we don’t know the value of R, we cannot find this probability.
  • Therefore, the 2 statements together are also not sufficient to answer the question.
    Answer: Option E
  •  
Free Test
Community Answer
A box contains orange, green and blue balls. If one ball is chosen at ...
Given:
  • Let the number of orange, green and blue balls be R, G and B respectively.
To find: P(R)
Step 3: Analyze Statement 1 independently
  • The probability that the chosen ball is blue is one-fourth of the probability that the chosen ball is not blue
But the expression for the probability that the chosen ball is blue =BR+G+B=
  •  We do not know the exact values of R and G. Nor do we know the value of the ratio R:G
  • So, we cannot find a unique value of P(R ) from the above equation.​
Statement 1 is not sufficient to find a unique answer to the question
Step 4: Analyze Statement 2 independently
  • If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is blue
    • Number of orange balls = R – 15
    • Number of blue balls = B
    • Number of green balls = G
    • So, The total number of balls in this case = G + B + (R – 15)
  • Since we do not know the unique values of R and G, we cannot find the value of P(R)
Thus, Statement 2 alone is not sufficient to answer the question
Step 5: Analyze Both Statements Together (if needed)
  • So, total number of balls,
  • So,
  • Since we don’t know the value of R, we cannot find this probability.
  • Therefore, the 2 statements together are also not sufficient to answer the question.
    Answer: Option E
  •  
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A box contains orange, green and blue balls. If one ball is chosen at random from the box, what is the probability that the chosen ball is orange?(1) The probability that the chosen ball is blue is one-fourth of the probability that the chosen ball is not blue(2) If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is bluea)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 'E'. Can you explain this answer?
Question Description
A box contains orange, green and blue balls. If one ball is chosen at random from the box, what is the probability that the chosen ball is orange?(1) The probability that the chosen ball is blue is one-fourth of the probability that the chosen ball is not blue(2) If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is bluea)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 '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 contains orange, green and blue balls. If one ball is chosen at random from the box, what is the probability that the chosen ball is orange?(1) The probability that the chosen ball is blue is one-fourth of the probability that the chosen ball is not blue(2) If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is bluea)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 '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 contains orange, green and blue balls. If one ball is chosen at random from the box, what is the probability that the chosen ball is orange?(1) The probability that the chosen ball is blue is one-fourth of the probability that the chosen ball is not blue(2) If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is bluea)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 'E'. Can you explain this answer?.
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If one ball is chosen at random from the box, what is the probability that the chosen ball is orange?(1) The probability that the chosen ball is blue is one-fourth of the probability that the chosen ball is not blue(2) If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is bluea)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 'E'. 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If one ball is chosen at random from the box, what is the probability that the chosen ball is orange?(1) The probability that the chosen ball is blue is one-fourth of the probability that the chosen ball is not blue(2) If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is bluea)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 'E'. Can you explain this answer?, a detailed solution for A box contains orange, green and blue balls. If one ball is chosen at random from the box, what is the probability that the chosen ball is orange?(1) The probability that the chosen ball is blue is one-fourth of the probability that the chosen ball is not blue(2) If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is bluea)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 'E'. Can you explain this answer? has been provided alongside types of A box contains orange, green and blue balls. If one ball is chosen at random from the box, what is the probability that the chosen ball is orange?(1) The probability that the chosen ball is blue is one-fourth of the probability that the chosen ball is not blue(2) If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is bluea)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 'E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A box contains orange, green and blue balls. If one ball is chosen at random from the box, what is the probability that the chosen ball is orange?(1) The probability that the chosen ball is blue is one-fourth of the probability that the chosen ball is not blue(2) If there were 15 fewer orange balls in the box, the probability that the chosen ball is orange would have been equal to the probability that the chosen ball is bluea)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 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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