'Fair dice' presentation slideshows

Chapter 4

Chapter 4. Probabilities and Proportions. Chances of winning Lotto. Chances of winning Lotto. Which one has the higher chance of winning? First B. Second C. Neither (same chance). Roulette.

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Statistical Methods for Corpus Analysis

932 views • 78 slides

Probability

Probability. Unit Test Review. Question. What is the probability that the total shown on two dice is less than or equal to 6?. Answer. 5/12. Question.

687 views • 58 slides

PHILOSOPHY OF SCIENCE: Neyman-Pearson approach

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PART 2 Probability and Random Variables

PART 2 Probability and Random Variables. Huseyin Bilgekul Eeng571 Probability and astochastic Processes Department of Electrical and Electronic Engineering Eastern Mediterranean University. Chapter 4 Distribution Functions and Discrete Random Variables. 4.1 Random Variables

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Probability: The Study of Randomness

Probability: The Study of Randomness. Chapter 4. 4.1 Randomness. Think about flipping a coin n times If n = 2, can have 2 heads (100% heads), 1 heads and 1 tail (50% heads), or 2 tails (0% heads). Now consider n = 200.

745 views • 36 slides

Probability

Probability . 2013-12-10. A fair six-sided die is rolled. What is the probability that the result is even?. A goblet contains 10 red marbles, 4 green marbles, and 6 blue marbles. If a marble is randomly chosen, what is the probability that it is red?.

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Introduction: Why statistics?

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Special Probability Distributions Chapter 5

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Randomness and probability

Randomness and probability. A phenomenon is random if individual outcomes are uncertain, but there is nonetheless a regular distribution of outcomes in a large number of repetitions.

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Probability and inference Randomness; Probability models

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Stochastic Methods

Stochastic Methods. A Review (Mostly). Relationship between Heuristic and Stochastic Methods. Heuristic and stochastic methods useful where Problem does not have an exact solution Full state space is too costly to search In addition, stochastic methods are useful when

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Typical Test Problems (with solutions)

Typical Test Problems (with solutions). Try solving these problems and compare with the solutions.

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Pie charts (AKA, circle charts) are fairly good ways of roughly describing qualitative data.

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CONDITIONAL PROBABILITY

CONDITIONAL PROBABILITY. Consider two events, A and B. Suppose we know that B has occurred. This knowledge may change the probability that A will occur. We denote by P(A|B) the conditional probability of event A given that B has occurred.

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Section 11.4 Addition and Complement Rule

Section 11.4 Addition and Complement Rule. Definition of Addition Rule (Page 731). Addition Rule for Probabilities with Mutually Exclusive Events: Two events A and B are mutually exclusive if they cannot occur at the same time, i.e., the intersection of A and B is empty.

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Viterbi once again!

0.9. 0.95. 1:1/6 2:1/6 3:1/6 4:1/6 5:1/6 6:1/6. 1:1/10 2:1/10 3:1/10 4:1/10 5:1/10 6:1/2. 0.05. 0.10. Loaded. Fair. Viterbi once again!. Model generates numbers 312453666641. The unfair casino : Loaded dice p(6) = 0.5; switch fair to load:0.05; switch load to fair: 0.1.

138 views • 6 slides