Because there is randomness when DNA is transmitted from parent to child, the more distant a cousin pair the less likely they are to share any stretch of DNA that was passed down through the generations. Note that even though there is a relatively low chance of detecting more distant cousins, DNA Relatives will likely find quite a few given the large number of distant cousins that exist.
We estimate the probability of us detecting whether you share DNA with a cousin to be:
|Cousin relationship||Probability that shared DNA is present and detected|
|1st Cousin or closer||~100%|
|6th Cousin and beyond||<5%|