A pack of 12 cards contains either red or black cards. What is the probability that a card chosen at random will be a red card?(1) The pack has 6 more red cards than black cards(2) The pack has 3 red cards for every black carda)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 'D'. Can you explain this answer?

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A pack of 12 cards contains either red or black cards. What is the probability that a card chosen at random will be a red card?

(1) The pack has 6 more red cards than black cards

(2) The pack has 3 red cards for every black card

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 'D'. Can you explain this answer?

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A pack of 12 cards contains either red or black cards. What is the pro...

Steps 1 & 2: Understand Question and Draw Inferences

Given: A pack of 12 cards – Black or Red

Let number of red cards = R
So, number of Black cards = 12 – R

To find: P(Choosing a Red card)

= R12

So, in order to answer the question, we need to find the value of R

Step 3: Analyze Statement 1 independently

Statement 1 says that ‘The pack has 6 more red cards than black cards

This means, R = (Number of Black cards) + 6
R = (12 – R) + 6
2R = 18
R = 9

Thus, Statement 1 alone is sufficient to provide a unique value of R

Step 4: Analyze Statement 2 independently

Statement 2 says that ‘The pack has 3 red cards for every black card’

NumberofRedCardsNumberofBlackcards=31

R12−R=31

R = 3(12 – R)
R = 36 – 3R
4R = 36
R = 9

Thus, Statement 2 alone is sufficient to provide a unique value of R

Step 5: Analyze Both Statements Together (if needed)

Since we’ve already got a unique answer in each of Steps 3 and 4, this step is not required

Answer: Option D

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A pack of 12 cards contains either red or black cards. What is the probability that a card chosen at random will be a red card?(1) The pack has 6 more red cards than black cards(2) The pack has 3 red cards for every black carda)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 'D'. Can you explain this answer?

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A pack of 12 cards contains either red or black cards. What is the probability that a card chosen at random will be a red card?(1) The pack has 6 more red cards than black cards(2) The pack has 3 red cards for every black carda)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 'D'. 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 pack of 12 cards contains either red or black cards. What is the probability that a card chosen at random will be a red card?(1) The pack has 6 more red cards than black cards(2) The pack has 3 red cards for every black carda)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 'D'. 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 pack of 12 cards contains either red or black cards. What is the probability that a card chosen at random will be a red card?(1) The pack has 6 more red cards than black cards(2) The pack has 3 red cards for every black carda)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 'D'. Can you explain this answer?.

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