The game 'red black' dice and the truth no one expected

Many people believe that the game of dice is just a chance game - is it true?

 

Probability factor when pouring dice

There are many different types of dice: pyramids, 20-sided dice . but we will consider the most popular dice, the 6-sided cube, marked from 1 to 6.

There are different types of dice.

And when you roll a 6-sided dice - there will be 6 cases, with a probability of 1/6.

When you roll a 6-sided dice - there will be 6 cases.

So what happens when you release 2 dice? There are 6 faces per dice, so there will be 6x6 = 36 cases. But if only for the results (total results on 2 dice), we can consider the following table:

Spreadsheet probability dump dice.

Looking at the table above you can see, there are up to 6 cases that produce results equal to 7 - which is the greatest probability of occurrence. In a slightly wider way, in games using 2 dice, the probability of falling between 5 and 9 is up to 66.7%, because there are 24 cases for this result (24/36 = 66.67% )

Similarly, with more faceted dice, we can calculate the cases that occur based on the probability of a case of a dice. Therefore, many people tend to bet on results that tend to come out more.

Is it true that dice will show randomly?

To determine which factors will determine the outcome of the dice, Marcin Kapitaniak, a graduate student at Aberdeen University (Scotland), did research when launching dice in three dimensions. They examined and evaluated the effects of gravity, air resistance, friction on the table .

Friction force on the table is also quite important when pouring dice.

And the results show that the most important factor is . the initial position of the dice. However, Kapitaniak later added: 'Friction force on the table is also quite important'.

Specifically, with the table surface with high friction, dice will not be able to slip easily but are forced to bounce more resulting in unpredictable results.

The initial position of the dice is still the most important factor.

However, the initial position of the dice is still the most important factor . According to observations from high-speed videos, even though bouncing many times, the dice still tend to produce the right results when originally sown . For example, dice with the First side (one) face up, the result will tend to come out like that.

Does this factor lose the fairness of the game?

Many people believe that gamblers will apply this knowledge to make money in casinos.

In fact, even if you want to, the dealer in casinos cannot guarantee 100% dice randomly.

Dice at casinos cannot guarantee 100% randomness.

In particular, casinos often drill into small holes, so that the weight of the dice must be equal to ensure randomness. However, this factor is not enough, because the face on the die is always more likely to come out.

But Kapitaniak said this ability is very difficult, because the player will have to determine the initial position of the dice, just knowing exactly the surrounding elements. So the results of the dice are still rated as random.

With more bouncing, the higher the rate of random dice.

In addition, Kapitaniak shared that if you want to increase the fairness of the game, you can plant the dice on a plane with as much friction as possible. With more bouncing, the higher the random output dice ratio, although the face-up factor when sowing is still the most important.

* The article demonstrates researcher Marcin Kapitaniak's opinion on Inside Science.