A method of testing for risk of a genetic abnormality in a DNA sample comprising predominantly fetal or embryonic DNA and comprising genomic sequences of interest, the method comprising: a) preparing a sequencing library from the DNA sample comprising predominantly fetal or embryonic DNA; b) hybridizing the sequencing library to a pool of double-stranded TArget Capture Sequences (TACS), wherein the pool of TACS comprises a plurality of TACS families directed to different genomic sequences of interest comprising a genetic abnormality, wherein each TACS family comprises a plurality of member sequences, wherein each member sequence binds to the same genomic sequence of interest but has different start and/or stop positions with respect to a reference coordinate system for the genomic sequence of interest, wherein the start and/or stop positions for the member sequences within a TACS family, with respect to a reference coordinate system for the genomic sequence of interest are staggered by 5 to 10 base pairs, and further wherein: i) each member sequence within the pool of TACS is between 150-260 base pairs in length, each member sequence having a 5' end and a 3' end; and ii) each member sequence binds to the same genomic sequence of interest at least 50 base pairs away, on both the 5' end and the 3' end, from regions harboring Copy Number Variations (CNVs), Segmental duplications or repetitive DNA elements; and iii) the GC content of the pool of TACS is between 19% and 80%, as determined by calculating the GC content of each member within the pool of TACS; c) isolating members of the sequencing library that bind to the pool of TACS to obtain an enriched library; d) amplifying and sequencing the enriched library; e) aligning, the enriched library to a reference genome thereby obtaining read-depth information and allelic counts; and f) performing statistical analysis on the enriched library sequences to thereby determine risk of a genetic abnormality in the DNA sample. a) preparing a sequencing library from the DNA sample comprising predominantly fetal or embryonic DNA; b) hybridizing the sequencing library to a pool of double-stranded TArget Capture Sequences (TACS), wherein the pool of TACS comprises a plurality of TACS families directed to different genomic sequences of interest comprising a genetic abnormality, wherein each TACS family comprises a plurality of member sequences, wherein each member sequence binds to the same genomic sequence of interest but has different start and/or stop positions with respect to a reference coordinate system for the genomic sequence of interest, wherein the start and/or stop positions for the member sequences within a TACS family, with respect to a reference coordinate system for the genomic sequence of interest are staggered by 5 to 10 base pairs, and further wherein: i) each member sequence within the pool of TACS is between 150-260 base pairs in length, each member sequence having a 5' end and a 3' end; and ii) each member sequence binds to the same genomic sequence of interest at least 50 base pairs away, on both the 5' end and the 3' end, from regions harboring Copy Number Variations (CNVs), Segmental duplications or repetitive DNA elements; and iii) the GC content of the pool of TACS is between 19% and 80%, as determined by calculating the GC content of each member within the pool of TACS; i) each member sequence within the pool of TACS is between 150-260 base pairs in length, each member sequence having a 5' end and a 3' end; and ii) each member sequence binds to the same genomic sequence of interest at least 50 base pairs away, on both the 5' end and the 3' end, from regions harboring Copy Number Variations (CNVs), Segmental duplications or repetitive DNA elements; and iii) the GC content of the pool of TACS is between 19% and 80%, as determined by calculating the GC content of each member within the pool of TACS; c) isolating members of the sequencing library that bind to the pool of TACS to obtain an enriched library; d) amplifying and sequencing the enriched library; e) aligning, the enriched library to a reference genome thereby obtaining read-depth information and allelic counts; and f) performing statistical analysis on the enriched library sequences to thereby determine risk of a genetic abnormality in the DNA sample.