Count on and Look for

Count on verb - Judge to be probable.

Look for and count on are semantically related In some cases you can use "Look for" instead a verb "Count on".

Look for verb - Try to locate or discover, or try to establish the existence of.

Count on and look for are semantically related in anticipate topic. You can use "Count on" instead a verb "Look for", if it concerns topics such as want, expect, wait with expectation.