Yes, the picture is a bit complicated. Globally, the earth is projected to get wetter as temperatures rise (~2% per degree C of global average temperature rise), but this increase in precipitation is less than the increase in moisture in the low levels of the atmosphere (~7% per degree C of global warming). The bottom line is that there is a general expectation of more frequent heavy precipitation events (fueled by that big increase in low-level moisture), meaning more flooding, but less frequent precipitation events overall. The precipitation patterns are also expected to change, leaving some areas like the southwestern US drier. When combined with rising temperature and increasing evapotranspiration (more moisuture leaving the earth's surface), that leads to more droughts. So, we see a modest increase in precipitation throughout the global overall, but with a distribution that favors more flooding and more droughts.