During an e.R. Visit recently for abdominal pain, doctors discovered a 2.4 inch cyst on my liver. What is the likelyhood of them removing it?

Unlikely. Liver cysts that size are not threatening but mandate observation. Chances are it'll be left alone but please see your doctor because some features vs rate of growth may instigate a more aggressive approach.
Depends. Cysts in the liver and the kidney are common. In most cases for simple cysts nothing special needs to be done except for followup. If it looks suspicious, further testing with MRI or more frequent followup may be needed. Decision to remove a liver cyst depends on multiple factors such as size, growth rate and chance of malignancy.