Description Usage Arguments Details Value Examples

What is the probability that N different persons have the same birthdays?

1 | ```
birthday.problem(days, people, gap, repetitions)
``` |

`days` |
The total number N of possible choices per each occurrency; namely, for K occurrencies the total sample space is |

`people` |
The number of different cases whose coincidences we want to look at. In the example at hand the number of different people whose birthdays one wants to happen. |

`gap` |
The allowed gap between any two different cases. It defaults to 0, namely birthdays happening on the same day. |

`repetitions` |
The number of times one wants to repeat the experiment to derive the statistics. It defaults to 20000, that produces a relative error smaller than 0.5% in most relevant cases. |

The function also provides the theoretical result, namely the theoretical probability that K cases can occurr simultaneously in the total sample space.

`experiment` |
The frequency of success cases from the experiment, after the selected amount of repetitions. |

`theory` |
The theoretical probability value of K cases occurring simultaneously in the total sample space. |

1 2 3 4 | ```
## Simultaneous birthdays
birthday.problem(people = 23)
## Birthdays one day apart
birthday.problem(people = 23, gap = 1)
``` |

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