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Amy, Brianne, and Cedric will each choose exactly 1 container, Container X or Container Y, and then randomly pick 1 marble, without replacement, from that container. Container X has 3 red marbles and 10 white marbles, while Container Y has 2 red marbles and 8 white marbles. If Amy and Brianne each pick 1 marble before Cedric picks 1 marble, which of these containers should Cedric choose to maximize the probability that the 1 marble he picks will be a red marble?
(1) Cedric knows that Amy picked 1 red marble from Container X.
(2) Cedric knows that Brianne picked 1 red marble from Container Y.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
  • c)
    Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Amy, Brianne, and Cedric will each choose exactly 1 container, Contain...
Initially in container x we have R = 3 = 3, W = 10 = 10 and in y we have R = 2 = 2 and W = 8 = 8
(1) Cedric knows that Amy picked 1 red marble from Container x.
After Amy picks, the status becomes:
x : R = 2 = 2, W = 10 = 10 and y : R = 2, = 2, W = 8 = 8
Now if Brian picks 11 Red from x the status becomes:
x : R = 1 = 1, W = 10 = 10 and y : R = 2, = 2, W = 8 = 8
Now p of red 1/11 < 2/101/11 < 2/10. Therefore Cedric should choose container y
But if Brian picks 11 red from y then the status becomes:
x : R = 2 = 2, W = 10 = 10 and y : R = 1, = 1, W = 8 = 8
Now p of red 2/12>1/92/12>1/9 Therefore now Cedric should choose container x
Since we already have a YES and a NO there is no need to test more cases with white marble.
INSUFF.
(2) Cedric knows that Brianne picked 1 red marble from Container Y.
Initially in container x we have R = 3 = 3 , W = 10 = 10 and in y we have R = 2 = 2 and W = 8 = 8
After Brian picks 11 Red from y the status becomes:
x we have R = 3 = 3 , W = 10 = 10 and in y we have R = 1 = 1 and W = 8 = 8
Red cases:
Now if Amy picks 11 Red from x the status becomes:
x : R = 2 = 2, W = 10 = 10 and y : R = 1, = 1, W = 8 = 8
p Red 2/12 > 1/92/12 > 1/9 Therefore Cedric should choose container x
But if Amy picks 11 red from y then the status becomes:
x we have R = 3 = 3 , W=10=10 and in y we have R = 0 = 0 and W = 8 = 8
p Red 3/13 > 03/13 > 0 Therefore now also Cedric should choose container x
White cases:
if Amy picks 11 white from x the status becomes:
x : R = 3 = 3, W = 9 = 9 and y : R = 1, = 1, W = 8 = 8
p red 3/12 > 1/93/12 > 1/9 Hence now also Cedric needs to choose container x.
if Amy picks 11 White from y the status becomes:
x we have R = 3 = 3 , W = 10 = 10 and in y we have R = 1 = 1 and W = 7 = 7
p red 3/13 > 1/8, 3/13 > 1/8, again Cedric needs to choose container x.
Thus we see in statement(2) after Brian picks, whatever Amy picks from whichever container, Cedric should always cointainer x to get higher probability of choosing red.
SUFF.
Ans B
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Amy, Brianne, and Cedric will each choose exactly 1 container, Container X or Container Y, and then randomly pick 1 marble, without replacement, from that container. Container X has 3 red marbles and 10 white marbles, while Container Y has 2 red marbles and 8 white marbles. If Amy and Brianne each pick 1 marble before Cedric picks 1 marble, which of these containers should Cedric choose to maximize the probability that the 1 marble he picks will be a red marble?(1) Cedric knows that Amy picked 1 red marble from Container X.(2) Cedric knows that Brianne picked 1 red marble from Container Y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer?
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Amy, Brianne, and Cedric will each choose exactly 1 container, Container X or Container Y, and then randomly pick 1 marble, without replacement, from that container. Container X has 3 red marbles and 10 white marbles, while Container Y has 2 red marbles and 8 white marbles. If Amy and Brianne each pick 1 marble before Cedric picks 1 marble, which of these containers should Cedric choose to maximize the probability that the 1 marble he picks will be a red marble?(1) Cedric knows that Amy picked 1 red marble from Container X.(2) Cedric knows that Brianne picked 1 red marble from Container Y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Amy, Brianne, and Cedric will each choose exactly 1 container, Container X or Container Y, and then randomly pick 1 marble, without replacement, from that container. Container X has 3 red marbles and 10 white marbles, while Container Y has 2 red marbles and 8 white marbles. If Amy and Brianne each pick 1 marble before Cedric picks 1 marble, which of these containers should Cedric choose to maximize the probability that the 1 marble he picks will be a red marble?(1) Cedric knows that Amy picked 1 red marble from Container X.(2) Cedric knows that Brianne picked 1 red marble from Container Y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Amy, Brianne, and Cedric will each choose exactly 1 container, Container X or Container Y, and then randomly pick 1 marble, without replacement, from that container. Container X has 3 red marbles and 10 white marbles, while Container Y has 2 red marbles and 8 white marbles. If Amy and Brianne each pick 1 marble before Cedric picks 1 marble, which of these containers should Cedric choose to maximize the probability that the 1 marble he picks will be a red marble?(1) Cedric knows that Amy picked 1 red marble from Container X.(2) Cedric knows that Brianne picked 1 red marble from Container Y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Amy, Brianne, and Cedric will each choose exactly 1 container, Container X or Container Y, and then randomly pick 1 marble, without replacement, from that container. Container X has 3 red marbles and 10 white marbles, while Container Y has 2 red marbles and 8 white marbles. If Amy and Brianne each pick 1 marble before Cedric picks 1 marble, which of these containers should Cedric choose to maximize the probability that the 1 marble he picks will be a red marble?(1) Cedric knows that Amy picked 1 red marble from Container X.(2) Cedric knows that Brianne picked 1 red marble from Container Y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'B'. 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.
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If Amy and Brianne each pick 1 marble before Cedric picks 1 marble, which of these containers should Cedric choose to maximize the probability that the 1 marble he picks will be a red marble?(1) Cedric knows that Amy picked 1 red marble from Container X.(2) Cedric knows that Brianne picked 1 red marble from Container Y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Amy, Brianne, and Cedric will each choose exactly 1 container, Container X or Container Y, and then randomly pick 1 marble, without replacement, from that container. Container X has 3 red marbles and 10 white marbles, while Container Y has 2 red marbles and 8 white marbles. If Amy and Brianne each pick 1 marble before Cedric picks 1 marble, which of these containers should Cedric choose to maximize the probability that the 1 marble he picks will be a red marble?(1) Cedric knows that Amy picked 1 red marble from Container X.(2) Cedric knows that Brianne picked 1 red marble from Container Y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Amy, Brianne, and Cedric will each choose exactly 1 container, Container X or Container Y, and then randomly pick 1 marble, without replacement, from that container. Container X has 3 red marbles and 10 white marbles, while Container Y has 2 red marbles and 8 white marbles. If Amy and Brianne each pick 1 marble before Cedric picks 1 marble, which of these containers should Cedric choose to maximize the probability that the 1 marble he picks will be a red marble?(1) Cedric knows that Amy picked 1 red marble from Container X.(2) Cedric knows that Brianne picked 1 red marble from Container Y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Amy, Brianne, and Cedric will each choose exactly 1 container, Container X or Container Y, and then randomly pick 1 marble, without replacement, from that container. Container X has 3 red marbles and 10 white marbles, while Container Y has 2 red marbles and 8 white marbles. If Amy and Brianne each pick 1 marble before Cedric picks 1 marble, which of these containers should Cedric choose to maximize the probability that the 1 marble he picks will be a red marble?(1) Cedric knows that Amy picked 1 red marble from Container X.(2) Cedric knows that Brianne picked 1 red marble from Container Y.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficientb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficientc)Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficiente)Statements (1) and (2) TOGETHER are NOT sufficientCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.
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