Is there a correlation between a persons chances of the death penalty, and their lawyer? For?

... example if a person is assigned a public deffense attorney because they cant afford a private lawyer, are their odds of receiving the death penal

... example if a person is assigned a public deffense attorney because they can't afford a private lawyer, are their odds of receiving the death penalty higher? Please provide proof and statistics of this, as well as where it was found

or:... example if a person is assigned a public deffense attorney because they can't afford a private lawyer, are their odds of receiving the death penalty higher? Please provide proof and statistics of this, as well as where it was found

Tags:death,