This is a funny remake of classic board game called Peg solitaire. The game is known simply as Solitaire in the United Kingdom. It is also referred to as Brainvita (especially in India).
The objective is to empty the entire board except for a solitary peg in the central hole. A valid move is to jump a peg orthogonally over an adjacent peg into a hole two positions away and then to remove the jumped peg. To fully enjoy this game turn your speakers on!