Would Korean people (men and women) date foreigners?

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Between the two, women are more likely to date foreigners then men. Mainly because of cultural differences and such, Korean men tend to stay within their ethnic groups because of traditions, values, etc. Women are more outgoing in this aspect as Asian culture can be restrictive on how they act to what they wear. Korea has high expectations as far as class and modesty goes. However, it isn't impossible that men don't date outside their ethnic group as well, (I just haven't seen it nearly as much.)

It's VERY IMPORTANT to remember that cultures on other sides of the world are vastly different from the US and may not have the same free minded expectations as we do in the states.