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Entering the final half hour it had seemed as though England might just leave Rome with their dignity intact. Instead, not for the first time in this championship, they were the architects of their own downfall with the momentum of the game swinging decisively after two visiting forwards, including captain Maro Itoje, were sent to the sin-bin within eight minutes of each other.
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The ratio of the area under the curve to the total area would be the probability of a needle crossing. We can find the area under the curve by integrating. If you do the math, you get a probability of 2/π for the case where the needle length is equal to the line spacing. There’s our pi! The reason it got in there is that the needle angle goes from negative π/2 to positive π/2 (two quarter circles). Maybe you’re not surprised after seeing that cosine function.，推荐阅读谷歌获取更多信息
Co-Tech Lead for Project Fizz ('14-'16)。关于这个话题，超级权重提供了深入分析