## An Elementary Introduction to the Theory of ProbabilityThis compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduction, no more: throughout the book the authors discuss the theory of probability for situations having only a finite number of possibilities, and the mathematics employed is held to the elementary level. But within its purposely restricted range it is extremely thorough, well organized, and absolutely authoritative. It is the only English translation of the latest revised Russian edition; and it is the only current translation on the market that has been checked and approved by Gnedenko himself. |

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### Contents

THE PROBABILITY OF AN Event | 3 |

RULE FOR THE ADDITION OF PROBABILITIES | 11 |

CONDITIONAL PROBABILITIES AND THE MULTIPLICA | 18 |

CONSEQUENCES OF THE ADDITION AND MULTIPLICA | 27 |

BERNOULLIs schEME | 38 |

BERNOULLIs THEOREM | 49 |

RANDOM variaBLES AND DISTRIBUTION LAws | 59 |

MEAN VALUES | 65 |

MEAN VALUE OF A SUM AND OF A PRODUCT | 74 |

DISPERSION AND MEAN DEVIATIONS | 80 |

LAW OF LARGE NUMBERS | 93 |

NoRMAL LAws | 100 |

CONCLUSION | 118 |

125 | |