## Probability: An IntroductionProbability: An Introduction provides the fundamentals, requiring minimal algebraic skills from the student. It begins with an introduction to sets and set operations, progresses to counting techniques, and then presents probability in an axiomatic way, never losing sight of elucidating the subject through concrete examples. The book contains numerous examples and solved exercises taken from various fields, and includes computer explorations using Maple. |

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Very good textbook indeed, looking forward for more textbooks from you especially in calculus, linear algebra, discrete mathematics and number theory

### Contents

Chapter 1 Sets and Functions | 1 |

Chapter 2 Combinatorics | 51 |

Chapter 3 Probability | 125 |

Chapter 4 Conditional Probability | 195 |

Chapter 5 Discrete Random Variables | 249 |

Chapter 6 Densities | 331 |

Various Sums | 369 |

Linear Recurrences | 375 |

Standard Normal Distribution | 381 |

Credits | 383 |

Selected Answers | 391 |

397 | |

399 | |

### Common terms and phrases

52 cards absolutely continuous bijection blue marbles chosen at random compute Consider continuous random variable countable counting the number cubes decimal representation deck of 52 deﬁned Deﬁnition denote the event desired probability Determine Pr digits discrete random variable distribution divisible divisors dots elements equation exactly Example expected number fair coin fair dice Figure ﬁipped ﬁnd Find Pr Find the probability ﬁnite ﬁrst ﬁve ﬂipping four given Hence InclusionIExclusion independent inﬁnite integers least letters Library Marbles are drawn moment-generating function MTest Observe outcome pair palindrome permutations Pr X f prime probability mass function probability of obtaining Problems Proof Public License random variable counting real number red marbles replacement rolled sample space score Section sequence Solution space Q square-free standard deck strictly positive integer subsets surjective taken at random Theorem tickets tossed total number trials winning Write a Maple