Week 2.1 counting techniques - Probability and Statistics for Scientists and Engineers ProbabilityCounting Techniques Levent Kaan Ph.D 1

# Week 2.1 counting techniques - Probability and Statistics...

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1 Levent Kaan, Ph.D Probability- Counting Techniques Probability and Statistics for Scientists and Engineers

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2 Levent Kaan, Ph.D Probability-Counting Techniques 1) Product Rule 2) Tree Diagram 3) Permutations 4) Combinations
3 Levent Kaan, Ph.D Product Rule Rule If an operation can be performed in n 1 ways, and if for each of these a second operation can be performed in n 2 ways, then the two operations can be performed in n 1 n 2 ways. Rule If an operation can be performed in n 1 ways, and if for each of these a second operation can be performed in n 2 ways, and for each of the first two a third operation can be performed in n 3 ways, and so forth, then the sequence of k operation can be performed in n 1 , n 2 , …, n k ways.

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4 Levent Kaan, Ph.D Tree Diagrams Definition: A configuration called a tree diagram can be used to represent pictorially all the possibilities calculated by the product rule.
• Fall '15
• Natural number, Levent Kaan

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