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The birthday problem can be generalized as follows: Given n random integers drawn from a discrete uniform distribution with range [1,d], what is the probability p(n; d) that at least two numbers are the same? (d = 365 gives the usual birthday problem.) [17] The generic results can be derived using the same arguments given above.
English: In probability theory, the birthday paradox concerns the probability that, in a set of n randomly chosen people, some pair of them will have the same birthday. By the pigeonhole principle, the probability reaches 100% when the number of people reaches 367 (since there are 366 possible birthdays, including February 29). However, 99% ...
Pages in category "Probability problems" ... Birthday problem; ... This page was last edited on 1 November 2019, ...
(1/365! is the probability that you take 365 people with distinct birthdays and, picking them one at a time, correctly pick them in birthday order). Let's work with smaller numbers: assume a 3-sided coin (it's more interesting than a two-sided, but the numbers are small).
Comparison of the birthday problem (1) and birthday attack (2): In (1), collisions are found within one set, in this case, 3 out of 276 pairings of the 24 lunar astronauts. In (2), collisions are found between two sets, in this case, 1 out of 256 pairings of only the first bytes of SHA-256 hashes of 16 variants each of benign and malicious ...
Novak Djokovic, right, of Serbia is congratulated by Jiri Lehecka of the Czech Republic, left, after their fourth round match at the Australian Open tennis championship in Melbourne, Australia ...
In probability theory, a birth process or a pure birth process [1] is a special case of a continuous-time Markov process and a generalisation of a Poisson process. It defines a continuous process which takes values in the natural numbers and can only increase by one (a "birth") or remain unchanged. This is a type of birth–death process with ...
It's a classic tale: You have last-minute guests coming over for dinner or a bake sale fundraiser you didn't find out about until the night before—and now you need to concoct some tasty treats ...
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