 A common cause incomplete probability space \((X,{\cal S},p)\) is called common cause completable if it can be embedded into a larger probability space \((X',{\cal S}',p')\) that is common cause complete. An embedding of \((X,{\cal S},p)\) into \((X',{\cal S}',p')\) is an injective Boolean algebra homomorphism h from \({\cal S}\) into \({\cal S}'\) such that \(p'(h(A))=p(A)\) for all A in \({\cal S}\). One can show that every probability space \((X,{\cal S},p)\) can be embedded into a purely nonatomic probability space. This entails that every common cause incomplete probability space is common cause completable (Gyenis &amp; Rédei 2011; Hofer-Szabó et al. 2013; Marczyk &amp; Wroński 2015).