There are a few products I made just to solve a problem for myself that I was too shy to share. I was very surprised how many people found my product and used it when I did 0 advertising and told 0 people about it. But to answer your question, no I do not think it is probable for a product to take off with 0 marketing/advertising. The only way a product takes off with 0 marketing is when an end-user finds your product and loves it so much that they share it with the world (free marketing.) This is very rare but a few developers found success with this model such as Larry Page and Sergey Brin but they are more of an exception than the rule.
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There are a few products I made just to solve a problem for myself that I was too shy to share. I was very surprised how many people found my product and used it when I did 0 advertising and told 0 people about it. But to answer your question, no I do not think it is probable for a product to take off with 0 marketing/advertising. The only way a product takes off with 0 marketing is when an end-user finds your product and loves it so much that they share it with the world (free marketing.) This is very rare but a few developers found success with this model such as Larry Page and Sergey Brin but they are more of an exception than the rule.