I recently played two different card games with a friend: 500 Rum and Lost Cities (modified to use a regular deck of cards). We started arguing about which game was more subject to chance. I realized that I have no idea how to measure, compare, or even articulate the chance/strategy ratio of a game, and was wondering if anyone could point me in the right direction.
Determine using absolutely no stratagy, (basically just playing the game without any particular aim) what is the probability of winning against a player using a stratagy.
Then determine the probability of winning against a player if using a stratagy.
That difference is the amount of "better" chance you have to win by using a particular stratagy. 1 - that number is the how much luck plays in the game.
You can test this out with different stratagies for your opponent and yourself to see which stratagies lend themselves to the most luck or least.