Dependent card game?

Question

Is there a card game that would be considered dependent, mathmatically speaking?

By dependent i mean are there any games in which the outcome on one event influences the outcome of the others.

Answer 1

Roughly speaking, dependant means that the probability of an event depends on previous outcomes in the experiement.
So any card game that involves dealing out different hands from the same deck of cards would involve dependant or conditional probability.
Blackjack is a famous example. If you know that a certain number of "good cards" have already been dealt, you can figure the probabilty of more "good cards" still left to be dealt. This is how, in "Rainman", the autistic savant character helped his brother clean up in Las Vegas.
However, many other card games also fit this description. Any good bridge or poker player keeps a rough estimate of conditional probabilities going in their minds at all times, and so is able to gain an advantage over mediocre players who can not do this.

Answer 2

"Dependent" is a vague way of putting it.

If you mean dependent on the kinds of hands you are trying to make (combinations/permutations available), variables (how many cards in the deck, are they shuffled?, how many times?), and the skill of the players playing the game, among others, then I guess, yes, card games are "dependent" on a number of variables.

You could try to model these variables mathematically, but you would be at a loss for developing an equation that you could consistently find to model them all.

Mostly, card games use statistical models that assume an equal probability of getting any card in the deck when one is dealt from it. In the case of most decks, a 1 in 52 chance.

Probabilities get even smaller when a certain constraint must be achieved, like getting 5 cards of the same suit (a flush in poker) or 5 consecutive cards (a straight in poker).

To answer your question, yes, every card game is dependent upon variables and you could attempt to model each variable if you wanted to. For simplicity's sake, however, you are better off assuming an equal chance (1/52 in most games) of getting a particular card in the deck (this assumes that all variables more or less negate one another and that a completely random distribution occurs), and then using the rules for calculating probability to determine the chances of making, winning with, or losing with, a particular hand of cards, and acting accordingly.

Answer 3

gamblers are dependent upon poker to win money.

making money is mathematical in the sense that counting money is fundamental to mathematics.

perhaps i would give a different answer if you explained more about what you mean by dependent. Like an example of what is mathematically dependent upon on something else in such a card game. In just about any kind of game of chance, like cards, there is some kind of dependency -- statistically speaking -- in the odds of what card will turn up next based upon how many cards have been played and what cards have been played.

Answer 4

As answerer #3 indicated, the game itself would not be called dependent. Rather, some one individual probability might be dependent on what has happened before.

Answer 5

When I search "mathematically dependent card game" or just "dependent card game" on Google, it comes up with Blackjack.