infer

(verb) reason by deduction; establish by deduction. Synonyms: deduce, deduct, derive.

(verb) draw from specific cases for more general cases. Synonyms: generalize, generalise, extrapolate.

(verb) conclude by reasoning; in logic. Synonyms: deduce.

(verb) guess correctly; solve by guessing. Synonyms: guess. Example: "He guessed the right number of beans in the jar and won the prize."

(verb) believe to be the case. Synonyms: understand. Example: "I understand you have no previous experience?."