A thoughtful, well-reasoned guess; a guess with some basis in one's knowledge. Class, we've studied cells all semester. Take an educated guess as to what the answer might be.

To train and prepare oneself or someone for a particular job or task. A noun or pronoun can be used between "educate" and "for." I was educated for a career in law, but I decided to pursue art instead. Even though my daughters are still in school, I always try to educate them for success in the business world.