What is a 17th century gambling game which descended from basset and played with deck of cards?

The 17th-century gambling game you're likely thinking of is Basset.

While Basset itself was not a card game, it served as the direct inspiration for a number of card games that emerged in the 17th and 18th centuries, including:

* Pharaoh: This card game, popular in the 18th century, was directly based on the principles of Basset. It involved betting on the outcome of card draws and was played with a standard deck of cards.

* Ace of Hearts: Another card game based on Basset, Ace of Hearts was popular in 18th-century England. Players bet on whether the Ace of Hearts would be drawn within a certain number of cards.

It's important to note that Basset itself was a dice game. It was played with three dice and involved betting on various combinations of numbers that might be rolled. This makes it slightly different from the card games mentioned above, but it's clear that the principles and appeal of Basset directly influenced the development of these card games.

Therefore, while there isn't a specific card game called "Basset" played in the 17th century, it's likely that the card games mentioned above are what you were thinking of.