Angelina Jolie: I would love to live a long life

"My chances of developing breast cancer have dropped from 87 percent to under five percent," actress and director Angelina Jolie wrote Tuesday in an op-ed article in The New York Times. "I can tell my children that they don't need to fear they will lose me to breast cancer."

That's because months earlier, Jolie wrote, she had opted to have a preventive double mastectomy after learning that she carried a genetic mutation - BRCA1 -- that drastically increases the risk of breast and ovarian cancer.

Jolie's article also spoke of having lost her own mother to cancer at age 56, a painful memory that she discussed with Bob Simon on 60 Minutes in 2011, an interview that we have excerpted above.