Posted by Peltier on Tuesday, March 19, 2013 at 10:24am.
A box in a college bookstore contains books, and each book in the box is a history book, an English book or a science book. If one-third of these books are history books and one-sixth are English books, what fraction of the books are science books?
****please explain this problem to me because I'm sure to have similar ones like this on my real exam.
Thank you in advance
- Arithmetic - stranger, Tuesday, March 19, 2013 at 10:46am
Let no. of books be x
No. of history books equal x into 1/3 I.e.x/3
No. Of English books equal x into 1/3 I.e. x/6
Rest books = no. Of science books
=total books -(history books+English books)
=x/2 books are of science of total books I.e. x
No of science book is 1/2 of total books
- Arithmetic - Peltier, Tuesday, March 19, 2013 at 10:49am
- Arithmetic - Kiran, Monday, October 14, 2013 at 8:36pm
As per the probability rule
Total of all probability is 1
P(History)+P( English)+P( Science) = 1
1/3 + 1/6 + P( Science) = 1
P( Science) = 1- (1/3 + 1/6) = 1 - 1/2
P( Science) = 1/2
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