Hey there, as an experienced statistics homework help expert do you handle all statistics topics such as R programming, SPSS, Excel, econometrics, and SAS assignment help? If yes please provide me with a hint on how to solve the following question?

Suppose that two batteries are randomly chosen without replacement from the following group of 12 batteries:
3 new
4 used (working)
5 defective
Let X denote the number of new batteries chosen.
Let Y denote the number of used batteries chosen.