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If a pencil is selected at random from a desk drawer, what

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If a pencil is selected at random from a desk drawer, what  [#permalink]

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14 Jul 2014, 13:23
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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.

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Re: If a pencil is selected at random from a desk drawer, what  [#permalink]

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14 Jul 2014, 13:32
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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.

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Re: If a pencil is selected at random from a desk drawer, what  [#permalink]

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03 May 2016, 14:11
Bunuel wrote:
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.

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Re: If a pencil is selected at random from a desk drawer, what  [#permalink]

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08 Apr 2017, 02:39
Bunuel wrote:
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.

Hi Bunuel,

In the first choice isn't the probability of choosing the red pencil = 0 because there are no red pencils in the drawer.

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Re: If a pencil is selected at random from a desk drawer, what  [#permalink]

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08 Apr 2017, 02:45
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gmatexam439 wrote:
Bunuel wrote:
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.

Hi Bunuel,

In the first choice isn't the probability of choosing the red pencil = 0 because there are no red pencils in the drawer.

No.

(1) says that "There are 6 black and 4 orange pencils among the pencils in the drawer". There might be some other color pencils in the drawer apart from black and orange.
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Re: If a pencil is selected at random from a desk drawer, what  [#permalink]

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08 Apr 2017, 02:49
1
gmatexam439 wrote:
Bunuel wrote:
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.

Hi Bunuel,

In the first choice isn't the probability of choosing the red pencil = 0 because there are no red pencils in the drawer.

Hi gmatexam439,

No, the 1st statement doesn't imply that the number of red pencil = 0. Please read it carefully.

Quote:
There are 6 black and 4 orange pencils among the pencils in the drawer.

Notice the word among. The 1st statement implies there are more than two types of pencils in the drawer.

Hope it helps.
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Re: If a pencil is selected at random from a desk drawer, what  [#permalink]

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10 Apr 2017, 06:18
Bunuel wrote:
gmatexam439 wrote:
Bunuel wrote:
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.

Hi Bunuel,

In the first choice isn't the probability of choosing the red pencil = 0 because there are no red pencils in the drawer.

No.

(1) says that "There are 6 black and 4 orange pencils among the pencils in the drawer". There might be some other color pencils in the drawer apart from black and orange.

Thank you Bunuel
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Re: If a pencil is selected at random from a desk drawer, what  [#permalink]

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10 Apr 2017, 06:19
ganand wrote:
gmatexam439 wrote:
Bunuel wrote:
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.

Hi Bunuel,

In the first choice isn't the probability of choosing the red pencil = 0 because there are no red pencils in the drawer.

Hi gmatexam439,

No, the 1st statement doesn't imply that the number of red pencil = 0. Please read it carefully.

Quote:
There are 6 black and 4 orange pencils among the pencils in the drawer.

Notice the word among. The 1st statement implies there are more than two types of pencils in the drawer.

Hope it helps.

Thank you
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Re: If a pencil is selected at random from a desk drawer, what  [#permalink]

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10 Apr 2017, 08:30
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.
No mention that red pencils are zero in number.
NS.
(2) There are three times as many red pencils in the drawer as pencils of all the other colors combined.

Suff. 3/4.

Ans B

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Re: If a pencil is selected at random from a desk drawer, what  [#permalink]

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08 May 2018, 10:07
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