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# A Superbowl sponsor X has a 30 sec commercial that is part of the 15

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Director
Joined: 07 Jun 2004
Posts: 610

Kudos [?]: 952 [0], given: 22

Location: PA
A Superbowl sponsor X has a 30 sec commercial that is part of the 15 [#permalink]

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06 Feb 2011, 06:56
00:00

Difficulty:

35% (medium)

Question Stats:

65% (00:27) correct 35% (01:30) wrong based on 20 sessions

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A Superbowl sponsor X has a 30 sec commercial that is part of the 15 different commercials the network will show in the first commercial break .

What is the probability that Company X's advertisement will be one of the first two be shown during the first commercial break?

(A) 1/225
(B) 1/30
(C) 1/15
(D) 2/15
(E) 4/15
[Reveal] Spoiler: OA

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Kudos [?]: 952 [0], given: 22

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 1965

Kudos [?]: 2097 [0], given: 376

Re: A Superbowl sponsor X has a 30 sec commercial that is part of the 15 [#permalink]

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06 Feb 2011, 07:14

For X's ad to be shown as one of the first two ads:

It can be shown as the first ad
or
Doesn't get shown as the first ad AND gets shown as the second ad

$$P= \frac{1}{15}+\frac{14}{15}*\frac{1}{14}$$
$$P= \frac{1}{15}+\frac{1}{15}$$
$$P= \frac{2}{15}$$

"The information that it is a 30 sec ad is superfluous."

Ans: "D"
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Kudos [?]: 2097 [0], given: 376

Manager
Joined: 27 Oct 2010
Posts: 179

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Re: A Superbowl sponsor X has a 30 sec commercial that is part of the 15 [#permalink]

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06 Feb 2011, 11:25
1/15 + (14/15) * 1/14 = 2/15 D

Kudos [?]: 12 [0], given: 20

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7745

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Location: Pune, India
Re: A Superbowl sponsor X has a 30 sec commercial that is part of the 15 [#permalink]

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07 Feb 2011, 21:17
rxs0005 wrote:
A Superbowl sponsor X has a 30 sec commerical that is part of the 15 different commercials the network will show in the first commercial break .

What is the probability that Company X's advertisement will be one of the first two be shown during the first commercial break?

(A) 1/ 225
(B) 1 / 30
(C) 1 /15
(D) 2 / 15
(E) 4 /15

Or you can simply view it as 2 favorable spots (1st or 2nd) out of 15 available ones so probability = 2/15
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Kudos [?]: 17853 [0], given: 235

Re: A Superbowl sponsor X has a 30 sec commercial that is part of the 15   [#permalink] 07 Feb 2011, 21:17
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