This disclosure provides, inter alia, a probe system probe system for analyzing a nucleic acid sample. In some embodiments, the probe system may comprise: a set of identifier oligonucleotides of sequence B, a set of splint oligonucleotides of formula X′-A′-B′-Z′, wherein sequence A′ is complementary to a genomic fragment and sequence B′ is complementary to at least one member of the set of identifier oligonucleotides, and one or more probe sequences comprising X and Z. Each splint oligonucleotide is capable of hybridizing to the probe sequences, a member of the set of identifier oligonucleotides and a genomic fragment, thereby producing a ligatable complex of formula X-A-B-Z. The probe system can be used to identify a chromosome aneuploidy in cell free DNA, for example.