Methods of using probes and probe sets for the detection of high grade dysplasia and carcinoma in cervical cells are described. Methods of the invention include hybridizing one or more chromosomal probes to a biological sample obtained from a subject and detecting the hybridization pattern of the chromosomal probes to the sample to determine whether the subject has high grade dysplasia or carcinoma. Methods of the invention also include preliminary screening the cells for a marker associated with a risk for cancer, and preferably involves screening for HPV infected cells by in situ hybridization using an HPV probe mixture.