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What's the proportion of the top prize winners?
There is 1 "four-point red" Deyi scholar cake (figure 1).

There are two "four red" cakes (Figure 2).

If there are four identical points (except Red Four), you can get four cakes (Figure 3).

There are three "four red" cakes (Figure 4).

If the number of dice is 1 to 6, you will get a pair of cakes (Figure 5), and then you will get a Zhuang Yuan cake. There are many grades for the first prize. The first prize grades shown in Figure 6. 1-6.4 are arranged from small to large, specifically:

If there are four "four red dots" (Figure 6. 1), you can take the pie. If two people have four "four-point reds", compare the points of the other two dice, and the one with the most points wins.

There are five people with the same score (Figure 6.2), and the common "five sons enter the subject" is greater than the four "four dividends" champions.

If you add four "four-point reds" and two "one-point reds" (Figure 6.3), it is called "the number one scholar inserts golden flowers", which is second only to the six dice with the same number of points (Figure 6.4).

Special circumstances:

The six "four red dots" (Figure 7. 1) are called "six red dots", and all the cakes are owned by the investor.

Six "six blacks" (Figure 7.2), called "six blacks", should turn off the lights and grab cakes.