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

Question

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

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

rahulkashyap · Answer

is the answer 288/300?

as we can pick any of the 288 pages out of the 300

Nikhil · Answer

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

Abhishek009 · Answer

\frac{288}{30}0

=  \frac{144}{150}

=  \frac{24}{25} , Answer must be (E)

adkikani · Answer

workout   Abhishek009

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

Nikhil · Answer

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}

danbrown9445 · Answer

Reverse approach:

P(Missing text page) = 1 - P(Missing blank page)
 =1-\frac{12}{300} 
 =1-\frac{1}{25} 
 =\frac{24}{25}

bumpbot · Answer

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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

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