'Birthday problem' presentation slideshows

Intro. to Probability, z-transform, and Laplace transform

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Intro. to Probability, z-transform, and Laplace transform

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Hash Functions

Hash Functions. Cryptographic Hash Function. Crypto hash function h(x) must provide Compression ? output length is small Efficiency ? h(x) easy to compute for any x One-way ? given a value y it is infeasible to find an x such that h(x) = y

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CSRU 1400 Discrete Structure

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Foundations of Network and Computer Security

Foundations of Network and Computer Security. J ohn Black. CSCI 6268/TLEN 5550, Spring 2014. Announcements. Today: Final Review Final Exam on Monday 5/5, 1:30-4pm, this room. About the Final. Same format as Midterm Short answers, extended topic questions, Justified True/False. Coverage.

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Lecture 14

Lecture 14. Birthday Problem. In a classroom of 21 people, what is the probability that at least two people have the same birthday? Event A: at least two people have the same birthday out of the 21 people. A C : every person has a different birthday out of the 21 people.

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Venn Diagrams and Set Operations: Tools for Probability

Venn Diagrams and Set Operations: Tools for Probability. Properties of the Probability of an Event. Here are some properties of the probability of an event that everyone must remember. Let E be an event of a sample space S. If E is the empty set, then P(E)=0 .

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Computational Problem Solving

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5B.1 Permutations and Combinations

5B.1 Permutations and Combinations. Permutation: An arrangement of r objects from n objects, the order of which is important. The possible number of such arrangements is denoted by n P r.

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Occupancy Problems

Occupancy Problems . m balls being randomly assigned to one of n bins. (Independently and uniformly) The questions: - what is the maximum number of balls in any bin? -what is the expected number of bins with k balls?.

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Statistics and Data Analysis

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The Birthday Problem

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The Birthday Problem

The Birthday Problem. The Problem. In a group of 50 students, what is the probability that at least two students share the same birthday?. Assumptions. Only 365 days each year.

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Birthday Problem

For a description of the birthday problem (or paradox) see the Wikipedia article:. Birthday Problem. http://en.wikipedia.org/wiki/Birthday_problem.

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