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14 Jul 2014, 14:23
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B
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Difficulty:
25%
(medium)
Question Stats:
67% (00:50) correct
33%
(00:43)
wrong
based on 461
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If a pencil is selected at random from a desk drawer, what is the probability that the pencil is red?
(1) There are 6 black and 4 orange pencils among the pencils in the drawer.
(2) There are three times as many red pencils in the drawer as pencils of all the other colors combined.
(1) There are 6 black and 4 orange pencils among the pencils in the drawer.
(2) There are three times as many red pencils in the drawer as pencils of all the other colors combined.
14 Jul 2014, 14:32
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If a pencil is selected at random from a desk drawer, what is the probability that the pencil is red?
(1) There are 6 black and 4 orange pencils among the pencils in the drawer. This one is clearly insufficient because we know nothing about red pencils.
(2) There are three times as many red pencils in the drawer as pencils of all the other colors combined. So, if there are x other color pencils, then there are 3x red pencils, so the probability of picking red is (red)/(total) = 3x/(x+3x) = 3/4. Sufficient.
Answer: B.
(1) There are 6 black and 4 orange pencils among the pencils in the drawer. This one is clearly insufficient because we know nothing about red pencils.
(2) There are three times as many red pencils in the drawer as pencils of all the other colors combined. So, if there are x other color pencils, then there are 3x red pencils, so the probability of picking red is (red)/(total) = 3x/(x+3x) = 3/4. Sufficient.
Answer: B.
General Discussion
