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C
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Difficulty:
25%
(medium)
Question Stats:
82% (02:24) correct
18%
(02:25)
wrong
based on 176
sessions
History
Date
Time
Result
Not Attempted Yet
Three companies P, Q and R supply 20%, 30% and 50% of the books to a college. Past experience shows that 20%, 4% and 5% of the books produced by these companies are defective. If a book was found to be defective, what is the probability that the book was supplied by company Q?
(A) 8/77
(B) 10/77
(C) 12/77
(D) 17/77
(E) 19/77
(A) 8/77
(B) 10/77
(C) 12/77
(D) 17/77
(E) 19/77
02 Jul 2021, 07:08
Kudos
Bookmarks
Bunuel
Three companies P, Q and R supply 20%, 30% and 50% of the books to a college. Past experience shows that 2%, 4% and 5% of the books produced by these companies are defective. If a book was found to be defective, what is the probability that the book was supplied by company Q?
(A) 8/77
(B) 10/77
(C) 12/77
(D) 17/77
(E) 19/77
(A) 8/77
(B) 10/77
(C) 12/77
(D) 17/77
(E) 19/77
The question may have an error with one of the numbers.
Let the number of books be 20, 30 and 50.
1)
2) 4% of 30 books are defective = 1.2
3) 5% of 50 books are defective = 2.5
Total defective books = 4+1.2+2.5 = 7.7
\(P(Q_d)=\frac{1.2}{7.7}=\frac{12}{77}\)
C
General Discussion
Updated on: 21 Jun 2021, 23:36
Originally posted by sajjad1995 on 10 Jun 2021, 08:22.
Last edited by sajjad1995 on 21 Jun 2021, 23:36, edited 1 time in total.
Last edited by sajjad1995 on 21 Jun 2021, 23:36, edited 1 time in total.
Kudos
Bookmarks
=((30/100)*(4/100))/(((20/100)*
(2/100))+((30/100)*(4/100))+
((50/100)*(5/100)))
= 12/41
(2/100))+((30/100)*(4/100))+
((50/100)*(5/100)))
= 12/41
