There's a good book called "The Drunkards Walk", that describes a woman who was jailed after having 2 children die from SIDS. They argued that the odds of this happening is 1 in a million (or something like that), so probably the woman is a baby killer. The prosecution had statisticians argue this. The woman was found guilty.

She later won on appeal in part because the defense showed that the testimony and argument of the original statisticians were wrong.

This stuff is so easy to get wrong. A little knowledge of statistics can be dangerous.