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30 Jun 2025, 07:13
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Question Stats:
100% (01:05) correct
0% (00:00) wrong based on 1 sessions
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A jar contains three red and two white marbles. Two marbles are picked without replacement.
Quantity A
The probability of picking two red marbles
Quantity B
The probability of picking exactly one red and one white marble
Quantity A
The probability of picking two red marbles
Quantity B
The probability of picking exactly one red and one white marble
08 Jul 2025, 10:51
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OE
First, compute the probability of picking two red marbles without replacement. This is given by:
Next, consider the probability of picking a red marble followed by a white marble:
However, this is not the only way to pick one red and one white marble; you could have picked the white one first, followed by the red one:
This event is mutually exclusive from picking a red marble followed by a white marble. Thus, the total probability of picking one red and one white marble is the sum of the probabilities of RW and WR, yielding an answer of:
This is a greater probability than the one for the Quantity A scenario. Therefore, the correct answer is (B): Quantity B is greater.
Answer: B
GMAT-Club-Forum-z0bc8tet.png [ 10.27 KiB | Viewed 153 times ]
GMAT-Club-Forum-5lfy0j7y.png [ 10.46 KiB | Viewed 153 times ]
GMAT-Club-Forum-p5wagvfu.png [ 10.16 KiB | Viewed 152 times ]
GMAT-Club-Forum-pxurgglc.png [ 21.19 KiB | Viewed 154 times ]
First, compute the probability of picking two red marbles without replacement. This is given by:
Next, consider the probability of picking a red marble followed by a white marble:
However, this is not the only way to pick one red and one white marble; you could have picked the white one first, followed by the red one:
This event is mutually exclusive from picking a red marble followed by a white marble. Thus, the total probability of picking one red and one white marble is the sum of the probabilities of RW and WR, yielding an answer of:
This is a greater probability than the one for the Quantity A scenario. Therefore, the correct answer is (B): Quantity B is greater.
Answer: B
Attachment:
GMAT-Club-Forum-z0bc8tet.png [ 10.27 KiB | Viewed 153 times ]
Attachment:
GMAT-Club-Forum-5lfy0j7y.png [ 10.46 KiB | Viewed 153 times ]
Attachment:
GMAT-Club-Forum-p5wagvfu.png [ 10.16 KiB | Viewed 152 times ]
Attachment:
GMAT-Club-Forum-pxurgglc.png [ 21.19 KiB | Viewed 154 times ]
