1) HP PROBOOK 4530S with the following configuration:
15.6" HD LED (resolution 1366x768)
Intel Core i5 2430M
4GB DDR3 1333 MHz
640GB hard drive
AMD Radeon HD 6490M
Battery up to 6h (enough for school; expect something like 4.5h when display brightness turned to half and Wifi on)
Around 2.5kg
Price depends where you live and where to buy. But should be under 1000$
2) Lenovo X220 with the following configuration:
Core i3-2350M (probably i5 series wont fit in the budget)
12.5" Display
4 GB DDR3 - 1333MHz
320 GB Hard Disk Drive, 5400rpm (ssd would be preferred)
Expect some amazing battery life with this model - over 7h
Weight 1.6kg!
Price around 800$
Note that with lower display resolution like 1366 X 768 or similar you are able to play 4 tables without overlapping. Even then you have to reduce table sizes significantly and tables look quite small. With 1-2 tables it is not important.
In general you cant go wrong with HP Probook, Elitebook series. Lenovo T, X series. Dell XPS, Precision series. You could post some of your local electronic stores so that it would be easier to choose.
Cheers