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It's hard to find quantative data but one clear example is DNA-based exoneration by the Innocence Project [1]

> Among the many insights drawn from these wrongful convictions is the realization that a guilty plea is not an uncommon outcome for innocent people who have been charged with a crime: 11 percent of the DNA exonerees recorded by the Innocence Project pleaded guilty

There's a thing called the Trial Penalty [2]. ~98% of charges result in a guilty plea. If all 100% went to trial the system would collapse. As such, prosecutors coerce plea deals [3]. But the Trial Penalty works pretty much like the example described: if you go to trial, you will be overcharged and face, say, 10-30+ years in jail. Or you can take a plea for 2 years.

This Trial Penalty is made worse with mandatory minimums and add-on charges like I mentioned (ie 924(c)).

This effect has been modeled with maths and game theory to show hoow extreme outcomes cause people to plead guilty more often [4].

This is a well-known problem in criminal justice. You're showing either a complete lack of imagination or simply don't think this will ever be used against you.

[1]: https://www.innocenceproject.org/wp-content/uploads/2019/09/...

[2]: https://www.tisonlawgroup.com/is-your-sixth-amendment-right-...

[3]: https://innocenceproject.org/coerced-pleas/

[4]: http://www.bernardosilveira.net/resources/Plea_bargain_Novem...

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