What is the probability of each of three dice opening (big, small, surrounding color,)

The odds are:

Open large: 35/72;

Open small: 35/72;

Size: 1/ 36.

First of all, we need to explain the rules of Sic Bo:

Sic Bo, commonly known as betting on big or small, is a method of gambling with dice. In Sic Bo, each player places a bet to the banker. Before each bet, the dealer puts three dice in a covered vessel and shakes them. When all players have finished placing their bets, the dealer opens the utensils and distributes the winnings. Because the most common bet is to buy the number of dice points, it is often called Tai-Sai. The total number of points is 4 to 10, which is called small, and 11 to 17, which is large, except for the dice; the dice means that the three points are all the same, if they are all the specified points

, such as the three dice are all one , called Wai Yi.

∵ After the three dice are thrown, it must be one of big, small, one to six.

∴P (big) + P (small) + P (die) )=1…………………………………………(1)

[P(x) represents the probability of event x occurring]

∵The odds of one to six are: (1/6)·(1/6)·(1/6)＝1/216

∴P(dice)=P(one) +P (circumference two) +... +P (circumference six) = (1/216) · 6 = 1/36... (2)

Suppose on the dice 1,2,3,4,5, 6 Chinese characters six, five, four, three, two, and one are engraved on each side, and the total number of points from four to ten is defined as "small'", and the total number of points from eleven to seventeen is defined as "big'"

Obviously, there should be P (big') = P (small), P (small') = P (big);

Also ∵ points 1, 2, 3, 4, 5, 6 and Chinese characters 1 , there is no essential difference between 2, 3, 4, 5 and 6

∴There should be P(small')=P(small), P(big')=P(large);

To sum up, there should be P (big) = P (small)…………………………………………(3)

Convert (2 )(3) Substitute into (1), that is:

2·P(big)+(1/36)=1

∴P(big)=P(small) =35/72

To put it simply, the probability of the three dice being big, small and close are 48.61%, 48.61% and 2.78% respectively. Obviously, Sic Bo is a gambling game where the house is always in an advantageous position. The player cannot use technology to improve his chances of winning, and the banker will win in the long run. Among all kinds of bets, "big and small" are the most beneficial to the player, but the banker still has the advantage.

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Note: Dice, also known as dice, are usually regular polyhedrons. They are usually used as small props for table games and are one of the ancient gambling tools. Dice are also random number generators that are easy to make and obtain. The most common dice is the six-sided dice, which is a regular hexahedron with one to six holes (or numbers) on it. The sum of the numbers on the two opposite sides must be seven. Chinese dice are customarily painted red at one and four o'clock.