What is the probablity of a suspicious lump (after the woman has a mammogram ) being cancer?

Unclear: The details are a bit too broad to give you a good answer. Often an ultrasound is done for a suspicious lump to further characterize the lump as solid or filled with fluid (cyst). If the lump has very irregular edges and/or associated suspicious calcifications a biopsy may be advised without an ultrasound. This may give you some help in talking about your findings with your doctor.

A BIRADS category: 4(suspicious) lesion that goes to biopsy has about a 20-30% chance of being cancer. A category 5(highly suspicious) lesion has a 95% chance.