# How Probability is used in Card Games

Everyone knows there is some form of probability involved with card games but most do not know the actual probability or how it relates to the game. To fully understand how probability affects certain situations in games we must know what this probability actually is.

By definition probability is the relative possibility that an event will occur, as expressed by the ratio of the number of actual occurrences to the total number of possible occurrences. To anyone that hasn’t taken a statistics course lately this definition may seem a little fuzzy but I will explain it more thoroughly. The probability of something happening is (Desired Solutions)/(All possible Solutions). For example the probability of drawing a king out of the deck with 52 cards is 4/52 or in simplified form 1/13. This is because out of all of the 52 cards we want to draw one of the four kings in the deck.

Now we know what the probability of a card being pulled is we can apply this to card game situations. Of course not all card game players are mathematicians so it is impossible to do all of the exact calculations so quickly but with a general knowledge you can determine whether you have a (Large/Decent/Small) chance of winning. In Texas Hold’em lets imagine a situation where you have a two diamonds and there are three diamonds on the flop; we know that there are two cards yet to be flipped so let’s find the probability of there being another diamond and completing your flush. But to do this we must first find our desired solutions and all of our possible solutions.

To find all of the possible solutions we will list them.

Diamond:D
Heart:H