Do the benefits of birth control (lower risk of ovarian cancer) outweigh any risk of breast cancer, particularly in the setting of a family history of breast cancer?

The benefits of using birth control, such as preventing unwanted pregnancy, usually outweigh the risks, which are minimal in terms of an increased risk of breast cancer. In fact, birth control pills are associated with a decreased risk of ovarian cancer.
 
Transcript: "For most women, the benefits of use of birth control, specifically the prevention of unwanted pregnancy, significantly outweigh the risks. The doses of hormone that are included in today's birth control pills are very small and are associated with a very small increased risk of breast cancer even in the setting of a significant family history of breast cancer. And so usually, the benefits of birth control pills do outweigh the risks. And it's also important to note that birth control pills are associated with a reduced risk of ovarian cancer."