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Institute of Mathematics & its applications. Statistics and Probability theory. Statistics is intimately linked to the risk doesnвЂ™t even have to be real. Select two people in the office. The probability of the second person not sharing a birthday with the first is 364/365. The probability of the third person not sharing a birthday with the first or second is 363/365. Going through the office and multiplying these together, we see this: 365/365 x 364/365 x 363/365 x 362/365 x x 343/365 = 0.4927.

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