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Due to a manufacturing defect, each copy of a 300-page book is missing

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Due to a manufacturing defect, each copy of a 300-page book is missing  [#permalink]

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26 Jul 2018, 00:29
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Difficulty:

25% (medium)

Question Stats:

77% (01:31) correct 23% (01:12) wrong based on 53 sessions

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Due to a manufacturing defect, each copy of a 300-page book is missing exactly one page,though each copy is not missing the same page. If the text of the book is only 288 pages (the other 12 are blank), what is the probability that any single copy is missing a page of text?

A. 1/30
B. 1/25
C. 11/12
D. 14/15
E. 24/25

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Re: Due to a manufacturing defect, each copy of a 300-page book is missing  [#permalink]

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26 Jul 2018, 01:19

as we can pick any of the 288 pages out of the 300
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Re: Due to a manufacturing defect, each copy of a 300-page book is missing  [#permalink]

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26 Jul 2018, 01:50
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each copy of a 300-page book is missing exactly one page

each copy is not missing the same page => any page in the book can be missed => all pages are equally likely to be missed

text of the book is only 288 pages, the other 12 are blank

probability that any single copy is missing a page of text = $$\frac{288}{300}$$ = $$\frac{24}{25}$$

Hence option E
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Re: Due to a manufacturing defect, each copy of a 300-page book is missing  [#permalink]

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26 Jul 2018, 10:16
Bunuel wrote:
Due to a manufacturing defect, each copy of a 300-page book is missing exactly one page,though each copy is not missing the same page. If the text of the book is only 288 pages (the other 12 are blank), what is the probability that any single copy is missing a page of text?

A. 1/30
B. 1/25
C. 11/12
D. 14/15
E. 24/25

$$\frac{288}{30}0$$

= $$\frac{144}{150}$$

= $$\frac{24}{25}$$, Answer must be (E)
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Re: Due to a manufacturing defect, each copy of a 300-page book is missing  [#permalink]

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28 Jul 2018, 07:31
workout Abhishek009

How did you knew that the book that the question is asking about has 288 and not 300 pages?
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Re: Due to a manufacturing defect, each copy of a 300-page book is missing  [#permalink]

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28 Jul 2018, 08:19
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workout Abhishek009

How did you knew that the book that the question is asking about has 288 and not 300 pages?

Hello,

As per the question statement, each copy of a 300-page book is missing one page.

The book has 300 pages of which 288 pages contain text and 12 pages are blank. Both of them add up to 300. Since the question asks for the probability of text page missing from any single copy, we have $$\frac{288}{300}$$
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Re: Due to a manufacturing defect, each copy of a 300-page book is missing &nbs [#permalink] 28 Jul 2018, 08:19
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