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30 Apr 2020, 15:11
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Difficulty:
55%
(hard)
Question Stats:
48% (01:26) correct
52%
(01:21)
wrong
based on 25
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A bag consists of three differently colored bottles, which includes 3 black, 4 white, and 5 red. If 3 bottles are picked randomly from the bag, what is the probability that all the bottles selected are not white?
A) 8C3/12C3
B) 1 - (4C3/12C3)
C) 1 - (4C3/8C3)
D) 3C3/12C3
E) 1 - (8C3/12C3)
A) 8C3/12C3
B) 1 - (4C3/12C3)
C) 1 - (4C3/8C3)
D) 3C3/12C3
E) 1 - (8C3/12C3)
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firas92
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Joined: 16 Jan 2019
Last visit: 02 Dec 2024
Posts: 616
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Location: India
Concentration: General Management
Schools: Tepper '23 (M$) Foster '23 (D)
GMAT 1: 740 Q50 V40
WE:Sales (Other)
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30 Apr 2020, 17:12
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Poorly worded question IMO
"All the bottles selected are not white" is different from "Not all the bottles selected are white"
"All the bottles selected are not white" means that we cannot have even one white bottle among our picks. So this can be BBB, RRR, BBR, BRB, RBB, RRB, RBR, BRR. In this case the probability will be 8C3/12C3
"Not all the bottles selected are white" means we can have white bottles among our picks as long as we don't get 3 white bottles. In this case the answer would be 1-(4C3/12C3)
Posted from my mobile device
"All the bottles selected are not white" is different from "Not all the bottles selected are white"
"All the bottles selected are not white" means that we cannot have even one white bottle among our picks. So this can be BBB, RRR, BBR, BRB, RBB, RRB, RBR, BRR. In this case the probability will be 8C3/12C3
"Not all the bottles selected are white" means we can have white bottles among our picks as long as we don't get 3 white bottles. In this case the answer would be 1-(4C3/12C3)
Posted from my mobile device
