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Summary: Introduction to Probability
Charles M. Grinstead
Swarthmore College
J. Laurie Snell
Dartmouth College
To our wives
and in memory of
Reese T. Prosser
Contents
1 Discrete Probability Distributions 1
1.1 Simulation of Discrete Probabilities . . . . . . . . . . . . . . . . . . . 1
1.2 Discrete Probability Distributions . . . . . . . . . . . . . . . . . . . . 18
2 Continuous Probability Densities 41
2.1 Simulation of Continuous Probabilities . . . . . . . . . . . . . . . . . 41
2.2 Continuous Density Functions . . . . . . . . . . . . . . . . . . . . . . 55
3 Combinatorics 75
3.1 Permutations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
3.2 Combinations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92
3.3 Card Shuffling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120
4 Conditional Probability 133
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