Essay On Mathematics Of Gambling

Blackjack is based on dependent events that have their support from probability mathematics. By dependent event, it implies that picking one card will be influence picking another card. In case of Blackjack, dependent event means every time one draws a card from the deck, the probability of drawing other cards with the time when others are not picked. This is to say the extent of picking a card depends on what card was picked in the first pick. For instance if you pick an Ace at the first time, the card has little chances of appearing once again rather the other cards have higher chances of being picked since the deck count has now decreased. As a result, probability comes into use whereby this Mathematics seeks to determine the likelihood of an event. Card counting in Blackjack enables both the players and dealers to understand the number of cards they have dealt with and the remaining cards in the deck. This is possible if the participants assign the cards numbers. If a low card is dealt with, the player adds one however is a high card is dealt with the player subtracts one. A positive sum implies that the player has a high probability of securing a win in the game this is because if there are many low cards dealt with their great chance that the dealer will have to burst with a high card. In Blackjack, card counting is very vital because probabilities are greatly influenced as cards are dealt and the player is able to see many of these cards dealt (Sosa 30). Nevertheless, card counting makes use of statistical evidence whereby the high cards that are especially aces and 10s are important to the player more than the dealer. However, low cards namely 4s, 5s, and 6s help the dealer thus hurting the player. This is to say that high concentration of aces and 10s in the game would give the player a high chance of hitting a natural Blackjack which implies 3:2 which happens only if the dealer does not have the blackjack. Furthermore, the basic card counting in the blackjack game allocates a positive, a negative and a zero value to each card value. Once the card is dealt, the count is accustomed by that its counting value. Low cards thus increase the count as they increase the percentage of the remaining shoe of the high cars whereas the high cards decrease when the opposite is true. On the other hand, in high-low card counting, the cards 2-6 are assigned a +1 and the 10s and Aces are assigned as -1. Thus, the cards are divided into two groups which have equal cards that are 2, 3,4,5,6 and 10, J, Q, K, A. However, the cards 7, 8, 9 remain neutral in the counting. When the low cards are good the dealer then it implies that the ratio of the remaining low cards to high cards changes in favor of the dealer (Sosa 120). The game starts with a deck of cards where flipping of the card at a time is done while keeping running count. When the cards follow each other as 8, K, 3, 3, 6, 2, 7, A then they are counted as 0,-1, 0, +1, +2, +3, +3, +2. In the next round, two cards are flipped at a time. On a burst, the dealer has to flip up the player’s two hole cards. This will help in avoiding confusion in the counting of the cards which may bring issues in the game. The running count thus should be converted to true count this is to ensure effectiveness in betting and playing decisions. To ensure this, the running count is divided into decks left unseen. For example, for a double deck game after the first hand the running count was +4, we divide this with the remaining cards which is 2 to get a true count of +2. However, in a multiple deck games an eye is kept on a discard tray which allows for accurate estimation of the decks remaining. For instance if the game is 6D, if two decks are gone then it implies other four are left. Dividing the above +4 for with the four remaining decks we get a value of +1 (Sosa 126). Furthermore, for a single deck, after dealing with a quarter deck three quarters, three quarters are left. To ensure accuracy care must be taken in dividing with fractions where inversion and multiplication has to be done. For instance, if we have a running count of 4/3, then we need to take +4 counts them multiplied by the 4 to get 16 then divide with 3 to get 5.33. Thus, in single deck, the true count is ever more than the running count. Rules for the blackjack game are determined by regulation which develops regulation variations. This rules are availed to the playing table failure to follow one is subjected to the casino staff and dismissed immediately. Other than the above discussed Blackjack makes use of the house edge that is a statistical phenomenon attached to the game. For each deck, a certain house edge percentage is assigned for instance first deck is given 0.17%, double deck is assigned 0.46%, four decks are assigned 0.60%, six decks are assigned 0.64% and finally, eight decks are assigned 0.65%. These percentages allow for accurate counting of the card. In conclusion, it is clear that Grambling games are much linked with Mathematics concepts more so statistics concepts especially probability mathematics. With reference to the Blackjack game probability plays a vital role in assisting both the player and dealer in the counting of the cards. Probability makes this possible since it has much to do with taking chances in an event in order to ensure a win just like the casino games. This is to imply that Mathematics is very important in solving various problems of life and thus gives life an accurate and smooth flow.
Work Cited Packel, Edward W.. The mathematics of games and gambling. Washington: Mathematical Association of America, 1981. Print. Sosa, Jesus C.. Discoveries in black jack: strategies and mathematics. New York: iUniverse, Inc., 2006. Print.