surmise
[ verb ser-mahyz; noun ser-mahyz, sur-mahyz ]
verb (used with object), sur·mised, sur·mis·ing.
to think or infer without certain or strong evidence; conjecture; guess.
verb (used without object), sur·mised, sur·mis·ing.
to conjecture or guess.
noun
a matter of conjecture.
an idea or thought of something as being possible or likely.
a conjecture or opinion.