Casino Math Research Paper
Mathematical Exploration
Casino Math – Blackjack
Introduction
I have decided to explore the topic of casino math in the mathematical exploration.
Casino games have been gradually growing more popular to the public as time progresses. Blackjack, or “21”, is indeed one of the most popular played games among as it does not require “mind games” between players and that it is certainly a game between no one else but each player and the dealer. Although Blackjack seems like a game that is based completely on luck, there are actually decent mathematical studies behind the game. As one who has been highly interested in card games and especially Blackjack since childhood, this is the perfect opportunity to investigate and evaluate the mathematics
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When two decks of cards are used, there are a total of 104 cards where there is 8 cards for each of the numbers Ace – 9 and 32 cards that represent 10 (10, J, Q, K).
The sample space of the 2 initial cards for players and for dealer in Blackjack can be presented by the following 2-Dimensional Grid:
Through the 2-Dimensional grid, we can see that the probability of getting a card that represents 10 is relatively higher at 0.31 in comparison to cards Ace – 9 at 0.077.
The probability of a certain card drawn from 2 decks of cards can be calculated through the equation: P(A)=(the number of members of event A)/(the total number of possible outcomes)=n(A)/n(U)
Generally, the probability of drawing a certain card from the decks of cards can be shown by the following calculations:
P(10)=32/104=0.30769≅ 0.31
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