Bunuel
There are two kinds of books on the bookshelf: Spanish and English. If two books are randomly chosen from the bookshelf without replacement, what is the possibility that at least one of the books chosen is English book?
(1) The ratio of Spanish books to English book is 3:1.
(2) There are less than 20 books on the shelf.
If we can get overall total books and total spanish books we can do 1- p(2 spanish books ) = p( at least one english book)
Where p(2 Spanish books ) = Probability of selecting 2 Spanish books from total Books
(1) The ratio of Spanish books to English book is 3:1.Total books could be 4 and spanish books 3
Total books could be 8 and spanish books 6
Total books could be 12 and spanish books 9
etc.
In each case we will get a different value for p(2 Spanish books)
INSUFF.(2) There are less than 20 books on the shelf.
Clearly not suff. as we do not know total # of books or total # of Spanish books.
INSUFF.1+2
Total books could be 4 and spanish books could be 3
Total books could be 8 and spanish books could be 6
etc.
INSUFF.Ans E
Hope it's clear.