# Collection of all things that can possibly take place

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collection of all things that can possibly take place. The examples available with these three devices are plentiful and very helpful in our quest for an understanding of probability and the techniques used in probability. 1.4.1 A Deck of Playing Cards There are many games that deal with a deck of cards. Here, we investigate the contents of a deck of playing cards. A deck of cards is composed of 52 cards. There are two colors: Black and Red. There are four suits: Clubs, Diamonds, Hearts and Spades. There are thirteen different type of cards in each suit: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King. All Jacks, Queens and Kings are referred to as Face Cards.
10 1.4.2 Poker Many nice examples in this book are related to the game of poker. We need to know the basics of each type of hand. We do not need to know which hand beats which in the game. We only need to know what cards each type of hand consists of. In a hand of poker, your final hand is the highest ranking hand of Five Cards . The order of the cards is irrelevant. Each hand will be illustrated through example(s). One Pair: One pair is exactly one matching pair. Suits or color do not factor in. Ace, Ace, 7, 3, 5 is a pair of Aces. Ace, 6, 4, 6, 10 is a pair of sixes. 6, 7, 2, 7, 2 is not a pair. It is two pair. King, Jack, King, King, 8 is not a pair. It is three of a kind. Two Pair: Two pair is exactly two matching pairs. Suits or color do not factor in. King, 8, 8, 4, King is two pair as is the third example given above. Three of a Kind (Slang: Trips) : There is three of one specific card. Suits or color do not factor in. 5, 6, 5, 5, 10 is three fives (trip fives) 5, Jack, jack, 5, Jack is not three of a kind. It is a Full House (see below). A Straight: A straight is five consecutive cards by rank in any order. The Ace can be used as the card below a two (like as if it were a one). The Ace can also be used as the card above a King. If all five of the straight cards are of the same suit, that is not a straight. That is a straight flush (see below). Ace, 2, 3, 4, 5 is a five-high straight. 2, 5, 3, Ace, 4 is the same five-high straight as above. The order they come in does not matter. 10, Jack, Queen, King, Ace is an Ace-high straight. A Flush: A flush is any five cards in the same suit. 2 , 6 , 4 , 10 , K is a heart flush. Full House: A three of a kind with as additional pair
11 5, Jack, Jack, 5, Jack is a Full House. This full house is Jacks full of fives. Jack, Jack, 5, 5, 5 is a different full house. This full house is fives full of jacks. Four of a Kind: Four of a kind is a hand with all four of one denomination in your hand. 7, 7, 7, 7, 3 is four of a kind. Straight Flush: A straight flush is a straight, where all five of the straight cards are the same suit. 3 , 4 , 5 , 6 , 7 is a straight flush. Any suit works. Royal Flush: A royal flush is an Ace high straight flush. 10 , J , Q , K , A is a royal flush. Any suit works. 1.4.3 A Single Die and Set of Dice As with cards, dice offer a chance to develop or thinking and strategies as related to probability. Our dice examples will be devoted to six-sided dice. Each die has spots on it. The number of spots are one through six, each used exactly once.