https://en.wikipedia.org/wiki/Confusion_matrix
You can see from that that sensitivity and recall are the same thing, but specificity and precision are not.
Edit: note that I'm not saying you need this to add roi as an analyst for a business!
My only quibble would be that precision + recall are one set of evaluation metrics applicable to classification tasks. Modelers can absolutely use other loss functions.
Additionally, precision/recall do not map nicely to regression problems, so people use other metrics (RMSE, MAE, etc.).
[1] This paper is the one that most often gets cited as background by people who don't like recall/precision as metrics: http://dspace2.flinders.edu.au/xmlui/bitstream/handle/2328/2...