I am very interested in cue sports, mostly card games but I am also a billiards enthusiast.
I like billiards too, it has a long and rich history stretching from its inception in the 15th century
I don't know much about the history of billiards but I like the logic with trying to figure out the mathematics behind aiming shots. Card games tend to be more entertaining.
Yes games are really important for humans and brain development, they are an integral part of all cultures
Cue sports are a specific subcategory of games that are for multiple people to partake in and many of them do have historical culture attached to them.
Yes and its a different thing if you are English or American, in england it  usually refers exclusively to the game of English billiards
In America it is commonly referred to as pool, which is what I'm used to. There are different variations but they all encompass the same basic set of rules.
Mahjong
Mahjong ( , Mandarin: ) is a tile-based game that was developed in China during the Qing dynasty and has spread throughout the world since the early 20th century. It is commonly played by four players (with some three-player variations found in Japan, South Korea and Southeast Asia). The game and its regional variants are widely played throughout Eastern and South Eastern Asia and have become popular in Western countries too. The game has also been adapted into a widespread online entertainment. Similar to the Western
games played with disks instead of balls.
Billiards has a long and rich history stretching from its inception in the 15th century, to the wrapping of the body of Mary, Queen of Scots, in her billiard table cover in 1586, through its many mentions in the works of Shakespeare, including the famous line "let's to billiards" in "Antony and Cleopatra" (1606–07), and through the many famous enthusiasts of the sport such as: Mozart, Louis XIV of France, Marie Antoinette, Immanuel Kant