X: Computers give us an easier access to information.
O: Computers give us easier access to information.
Access is an uncountable noun: 'The entrance was widened to give easier access to disable people.' 'They have no right to refuse us access to the information.'
X: There was a big accident down the street.
0: There was a serious accident down the street.
A bad/dreadful/serious/fatal accident. (NOT BIG)
