Mathematics and Video Slots
How do gambling and probability theory work together? Let’s see if there is any link between gambling and math. There is a possibility of any coin falling. So, we have one of two results head or head. The probability of taking heads is ½ (50%), so half of the trials will be heads.
Probability is how often the expected outcome may occur and is represented as a ratio of the expected results of the total possible outcomes over multiple retries over a long period of time.
The result of a probability reflects the quantitative probability of that outcome. If it is equal to zero, this result may not happen at all. If it is equal to 1 (100%); the result will certainly come true.
Examples:
There are 52 cards in a standard deck, including 4 aces. probability of getting an ace: (4/52) * 100 = 7.69%. European roulette has 37 cells on the wheel: 1-36 – numbers (18 red and 18 black) and zero green.
- The probability of getting any number – (1/37) * 100 = 2.7%.
- The probability of getting a red number – (18/37) * 100 = 48.6%.
- Probability of getting dozen – (12/37) * 100 = 32%.
Gain / Loss Ratio
If we talk about the mathematical probability of winning at the casino, this is often seen as a loss/win ratio, so we get the win/loss ratio.
There are 36 results when rolling two dice (each cube has six faces that can be matched to the face of the other).
Consider the probability of getting a 7 on two dice. It can have the following results: 3 and 4; 5 and 2; 6 and 1; 4 and 3; 2 and 5; 1 and 6. Therefore, 5 (out of 6) results are negative and only one is positive. In this case, the loss/win ratio is 1 in 5.
The example is given consists of mutually exclusive consequences: you take the numbers that makeup 7, or you don’t get the numbers that makeup 7. These are also called mutually exclusive outcomes/events if under no circumstances will they occur under the same conditions.
Opposite Cases
The opposite of the activity is complimentary. Taurus is complementary to tails, red is complementary to black, and odd is complementary to double. The probability of all potential outcomes is always equal to 1.
For example, when getting a random card from the deck, there will be either hearts [13/52, or 25%] or another suit [39/52, or 75%]. So, we have: 13/52 [25%] + 39/52 [75%] = 52:52 = 1 [100%].
Casinos are based on the same mathematical laws and principles.
Independent Cases
The probability of getting a tails on one of the coin toss: (1/2) 2 = 1/4 (or 25%)
The probability of getting tails ten times in a row: (1/2) 10 = 1/1024 (or 0.098%).
A pair of dice was presented at one of the casinos in Las Vegas. The article states that the uniqueness of these dice is thanks to their 28 straight passes that happened once. The probability of 28 straight passes in a dice game (0.493) is 28, or 1 out of about 400 million. So, the casino describes the mathematical uniqueness of this event.
