This is a common point of confusion for many Korean students. While both "better" and "higher" mean "more
"Higher" should be used for something that is objectively measurable by itself.
- e.g. Students from lower income families are more likely to drop out than students from higher income families.
"Better" should be used for something that isn't objectively measurable by itself.
- e.g. There are better chances of reaching an agreement through the six-party talks, rather than through unilateral diatribes.