Synonyms of 'a shot in the dark'
▷ See shot
It was a shot in the dark but I decided to write to him.
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A conjecture is a conclusion that is based on information that is not certain or complete.
Your assertion is merely a conjecture, not a fact.
A guess is an attempt to give an answer or provide an opinion which may not be true because you do not have definite knowledge about the matter concerned.
He took her pulse and made a guess at her blood pressure.
Thesaurus for a shot in the dark from the Collins English Thesaurus
If you describe something someone says or does as a shot in the dark or a stab in the dark , you mean they are guessing that what they say is correct or that what they do will be successful .