No one daresNo one dared to do anything. For example," Dong Zhuo's power will endanger the Han Dynasty. The ministers are afraid and no one dares to do anything." Another example is that the army under Shang Zhixin in Guangdong " crossed the market with a knife, galloped out of the suburbs, and the wolf was violent. No one dares to do anything." This idiom can be used as a clause.
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2 dice probabilityFor two dice, there were several possibilities:
1. ** Single number probability **:
- Each die had six sides, and the numbers were 1, 2, 3, 4, 5, and 6. When a die is rolled, the probability of each number appearing is 1/6. When two dice were thrown, for example, the probability of both dice rolling a 1 was 1/6. Therefore, the probability of both dice rolling a 1 (the combination of 1 and 1) was (1/6)×(1/6)=1/36. Similarly, any particular combination of numbers (such as 3 and 5) has a probability of 1/36.
2. ** Point sum probability **:
- The sum of the points was 2 (1 + 1), and there was only one possibility. The probability was (1/6)×(1/6)=1/36.
- The sum of the points is 3 (1+2 or 2 + 1). There are two possibilities, and the probability is 2/36.
- The sum of the points was 4 (1+3, 2+2, 3+1). There were 3 possibilities, and the probability was 3/36.
- The sum of the points is 5 (1+4, 2+3, 3+2, 4+1). There are 4 possibilities, and the probability is 4/36.
3. ** Dice size probability (1 - 6 is small, 7 - 12 is big)**:
- There were a total of 6x6 = 36 combinations of the two dice. Among them, there were 15 situations where the sum of points was 1 - 6 (small), and 21 situations where the sum of points was 7 - 12 (large). However, since it was impossible for two dice to have a point, the probability of a small point appearing was 5/11 (about 45.45%), and the probability of a big point appearing was 6/11 (about 54.55%).
4. ** The probability that the sum of the two dice numbers is odd (assuming the first die numbers are 1, 2, 3, 3, 5, 6, and the second die numbers are 1, 2, 4, 4, 5, 6)**:
- For the first die, the probability of an odd number appearing was 4/6 = 2/3, and the probability of an even number appearing was 1/3. For the second die, the probability of an odd number appearing was 2/6 = 1/3, and the probability of an even number appearing was 2/3. To get the odd sum, there are two situations: if the first die is odd and the second die is even, the probability is 2/3×2/3 = 4/9; if the first die is even and the second die is odd, the probability is 1/3×1/3 = 1/9. Therefore, the total probability was 4/9+1/9 = 5/9.
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Chance DiceThe probability of the die facing up was a concept related to probability. For a single standard die, since it had six sides marked with the six numbers 1, 2, 3, 4, 5, and 6, under the assumption that the texture of the die was uniform (ideal state), the probability of each side facing up was equal, 1/6.
When considering the combination of multiple dice, the calculation became more complicated. For example, to calculate the probability of the total number of dice, one needed to find all the combinations that obtained the total number of dice and divide it by the total number of combinations, 36 (6×6). For example, a total of 12 could only be a case where both dice rolled 6 points, so the probability was 1/36. There were two cases where a total of 11 points (one dice rolled 6 points, the other rolled 5 points, or vice versa), and the probability was 2/36, which was 1/18.
In addition, from a practical point of view, some dice might not be completely uniform. For example, a hole-digging die had six small pits dug on each side of the six points, while only one small pit was dug on the one point side. This made the six points side lighter than the one point side. According to the law of free fall, the probability of one point facing down was higher than the probability of six points facing down. However, in formal gambling or professional use scenarios, special processing methods would be used to ensure that the probability of each side of the die was as uniform as possible. For example, the pits dug were directly filled with raw materials to retain the color shadow of the pit, the size of the pits on each side was controlled to balance the quality, or the use of a regular square with no pits was directly used and numbers or points were written on each side.
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Have faith in the Lord Fifth, gain eternal life! When the Lord Fifthappears, who dares to cause strife!Have faith in the Lord Fifth, gain eternal life! When the Lord Fifthappears, who dares to cause strife!Have faith in the Lord Fifth, gain eternal life! When the Lord Fifthappears, who dares to cause strife!Have faith in the Lord Fifth, gain eternal life! When the Lord Fifthappears, who dares to cause strife!Have faith in the Lord Fifth, gain eternal life! When the Lord Fifthappears, who dares to cause strife!