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

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rxs0005
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A Superbowl sponsor X has a 30 sec commercial that is part of the 15 [#permalink] New post   06 Feb 2011, 06:56
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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
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D
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Re: A Superbowl sponsor X has a 30 sec commercial that is part of the 15 [#permalink] New post   06 Feb 2011, 07:14
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Sponsor X's ad is 1 among 15 ads to be shown in the first break.

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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Re: A Superbowl sponsor X has a 30 sec commercial that is part of the 15 [#permalink] New post   06 Feb 2011, 11:25
1/15 + (14/15) * 1/14 = 2/15 D
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Re: A Superbowl sponsor X has a 30 sec commercial that is part of the 15 [#permalink] New post   07 Feb 2011, 21:17
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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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Re: A Superbowl sponsor X has a 30 sec commercial that is part of the 15 [#permalink] New post   16 Apr 2021, 08:28
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rxs0005 wrote:
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

Solution:

The probability that Company X’s advertisement will not be one of the first two shown during the first commercial break is 14/15 x 13/14 = 13/15. Therefore, the probability it will be one of the first two shown during the first commercial break is 1 - 13/15 = 2/15.

Answer: D
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Re: A Superbowl sponsor X has a 30 sec commercial that is part of the 15 [#permalink]
16 Apr 2021, 08:28
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