### Abstract

Probability theory is a mathematical discipline that investigates possible outcomes of repeated experiments and a long-run relative frequency of these outcomes. The word “probability” generally refers to the chance of a specific event occurring, taking values between zero (impossible) and one (certain). Probability theory enables the analysis of reliability, i.e. the probability that a system performance meets its marginal value (or requirement) under uncertainty at the very beginning of operation (time-independent reliability) or during its lifetime (time-dependent reliability). In this chapter, we briefly summarize fundamental probability theory with the aim of providing a sufficient background in probability to enable understanding and use of techniques and methods found in later chapters.

Original language | English (US) |
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Title of host publication | Springer Series in Reliability Engineering |

Publisher | Springer London |

Pages | 11-51 |

Number of pages | 41 |

DOIs | |

State | Published - Jan 1 2019 |

### Publication series

Name | Springer Series in Reliability Engineering |
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ISSN (Print) | 1614-7839 |

ISSN (Electronic) | 2196-999X |

### ASJC Scopus subject areas

- Safety, Risk, Reliability and Quality

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## Cite this

*Springer Series in Reliability Engineering*(pp. 11-51). (Springer Series in Reliability Engineering). Springer London. https://doi.org/10.1007/978-3-319-92574-5_2