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I was just contemplating what the chances are, given that you have a finished draft that you attempt to traditionally publish (but remaining agnostic about the quality, marketability, or any other attributes of that draft), that that draft will end up published, just going by the numbers. I'm far, far from an expert on any of this, but I just wanted to share my thought process in case anyone else finds it interesting.
Of course, hard, fast numbers are not available, but estimates for the number of queries an agent receives seem to vary from something like 100 per week (5200 per year) to 100 per day (36,500 per year), with most estimates falling somewhere around the 10,000-15,000 per year range. Of course, this includes queries from people who have not, in fact, completed a manuscript, so the number of actually valid submissions will be a little lower than the raw number. So let's say 10,000 per year.
Most estimates that I've found for the number of clients an agent signs per year are something on the order of 2-4. So let's estimate 3 as an average. That means the probability of a given agent signing an author for a particular book is 3/10,000 = 0.0003, or 0.03%. Very low! But of course, you don't submit to a single agent. Assuming no correlations between agents' response probabilities (which is probably true to a decent approximation), your chances of getting all rejections are (1-0.0003)^N, where N is the number of agents you submit to. Let's say you submit to 100 agents (definitely on the high end, but we're imagining that one is going all out on trying to get this published). Then the probability of getting all rejections is (1-0.0003)^100, which comes out to about 97% - in other words, there is a 3% chance of getting at least one offer of representation.
Estimates of how many agented books are accepted by a publisher seem to be all over the place. This article (https://jerichowriters.com/if-an-agent-accepts-your-work-what-are-chances-of-getting-published-2/) first claims that a good agent sells 2 out of every 3 books (67%) they take on submission. But then it considers things from the publisher's end, where only about 1% of books submitted get published, which means that if an agent submits to about 10 publishers, there is a (1-0.01)^10, or about 10% chance that a given agented book will be published. Let's split the difference and assume about a 35% chance that a book represented by an agent will find a publisher. That leaves us with a final probability of 0.03*0.35 = 0.0105, or just a tad over a 1% probability that a completed book will end up traditionally published. Not great, but not quite as improbable as winning the lottery!
I'm curious whether anyone else has tried calculating this number, or if there are places where my estimates seem off or could be improved.
Of course, hard, fast numbers are not available, but estimates for the number of queries an agent receives seem to vary from something like 100 per week (5200 per year) to 100 per day (36,500 per year), with most estimates falling somewhere around the 10,000-15,000 per year range. Of course, this includes queries from people who have not, in fact, completed a manuscript, so the number of actually valid submissions will be a little lower than the raw number. So let's say 10,000 per year.
Most estimates that I've found for the number of clients an agent signs per year are something on the order of 2-4. So let's estimate 3 as an average. That means the probability of a given agent signing an author for a particular book is 3/10,000 = 0.0003, or 0.03%. Very low! But of course, you don't submit to a single agent. Assuming no correlations between agents' response probabilities (which is probably true to a decent approximation), your chances of getting all rejections are (1-0.0003)^N, where N is the number of agents you submit to. Let's say you submit to 100 agents (definitely on the high end, but we're imagining that one is going all out on trying to get this published). Then the probability of getting all rejections is (1-0.0003)^100, which comes out to about 97% - in other words, there is a 3% chance of getting at least one offer of representation.
Estimates of how many agented books are accepted by a publisher seem to be all over the place. This article (https://jerichowriters.com/if-an-agent-accepts-your-work-what-are-chances-of-getting-published-2/) first claims that a good agent sells 2 out of every 3 books (67%) they take on submission. But then it considers things from the publisher's end, where only about 1% of books submitted get published, which means that if an agent submits to about 10 publishers, there is a (1-0.01)^10, or about 10% chance that a given agented book will be published. Let's split the difference and assume about a 35% chance that a book represented by an agent will find a publisher. That leaves us with a final probability of 0.03*0.35 = 0.0105, or just a tad over a 1% probability that a completed book will end up traditionally published. Not great, but not quite as improbable as winning the lottery!
I'm curious whether anyone else has tried calculating this number, or if there are places where my estimates seem off or could be improved.