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Lecture Notes for CMSC 250 - Discrete Structures with Plane at Maryland (UMD)

Notes Information

Material Type:Class Note
Professor:Plane
Class:CMSC 250 - Discrete Structures
Subject:Computer Science
University:University of Maryland
Term:--
Keywords:
  • Combinations
  • Similarities
  • Vice President
  • Sample Space
  • Probabilities
  • The President
  • Addition Rule
  • Conditional
  • Infinite Sets
  • Propositional
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1 Counting Elements in a List . How many integers in the list from 1 to 10? . How many integers in the list from m to n? (assuming m <= n) How many in a list divisible by something: . How many positive three digit integers are there? - (this means only the ones that require 3 digits) - 999 - 100 + 1 = 900 . How many three digit integers are divisible by 5? - think about the definition of divisible by x | y $ k ?Z, y = kx and then count the k's that work 100, 101, 102, 103, 104, 105, 106,. 994, 995, 996, 997, 998, 999 20*5 21*5 . 199*5 - count the integers between 20 and 199 - 199 - 20 + 1 = 180 2 Probability likelihood of a specific event . Sample Space = set of all possible outcomes . Event = subset of sample space . Equal Probability Formula: - Given a finite sample space S where all outcomes are equally likely - Select an event E from the sample space S - The probability of event E from sample space S: )( )()( Sn EnEP = Flipping Two ...

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