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spolischook/probability-theory
==============================

Case studies for Probability Theory

03TeX

Since Nov 12Pushed 7y ago1 watchersCompare

[ Source](https://github.com/spolischook/probability-theory)[ Packagist](https://packagist.org/packages/spolischook/probability-theory)[ RSS](/packages/spolischook-probability-theory/feed)WikiDiscussions master Synced yesterday

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Probability Theory
==================

[](#probability-theory)

This repository contains equations for soloving tasks from Theory of probability and test code in R language

Setup
-----

[](#setup)

Follow [this doc](./includes/setup.md) to setup your environment

Tasks
-----

[](#tasks)

### Combinatorics and Set theory:

[](#combinatorics-and-set-theory)

- [Letters with permutations and with/without repetitions](./Tasks/letters_permutations.md)
- [About two shooters](./Tasks/two_shooters.md)
- [Three shots, two hits](./Tasks/three_shots_two_hits.md)

### Classical definition of probability:

[](#classical-definition-of-probability)

- [Consignment with defective part](./Tasks/consignment_with_defective_part.md)
- [Shelf with books](./Tasks/shelf_with_books.md)

### Law of total probability:

[](#law-of-total-probability)

- [Spikes and grains](./Tasks/spikes_and_grains.md)

### Formula Bernoulli:

[](#formula-bernoulli)

- [Hit to bull's eye](./Tasks/6_from_8_hit_to_bulls_eye.md)

### Poisson limit:

[](#poisson-limit)

- [Commutator load](./Tasks/commutator_load.md)

### Moivre–Laplace theorem

[](#moivrelaplace-theorem)

- [Students life](./Tasks/students_life.md)
- [Consignment with 15 defective products](./Tasks/consignment_with_15_defective_products.md)

### Appendix:

[](#appendix)

- [Formulas](./Tasks/formulas/_formulas.md)

###  Health Score

19

—

LowBetter than 10% of packages

Maintenance20

Infrequent updates — may be unmaintained

Popularity3

Limited adoption so far

Community7

Small or concentrated contributor base

Maturity39

Early-stage or recently created project

 Bus Factor1

Top contributor holds 100% of commits — single point of failure

How is this calculated?**Maintenance (25%)** — Last commit recency, latest release date, and issue-to-star ratio. Uses a 2-year decay window.

**Popularity (30%)** — Total and monthly downloads, GitHub stars, and forks. Logarithmic scaling prevents top-heavy scores.

**Community (15%)** — Contributors, dependents, forks, watchers, and maintainers. Measures real ecosystem engagement.

**Maturity (30%)** — Project age, version count, PHP version support, and release stability.

### Community

Maintainers

![](https://www.gravatar.com/avatar/e31e7413c0e2239f383a5b2286aa2e19e34bab835fb2789ad738eec49832c54d?d=identicon)[spolischook](/maintainers/spolischook)

---

Top Contributors

[![spolischook](https://avatars.githubusercontent.com/u/1978331?v=4)](https://github.com/spolischook "spolischook (46 commits)")

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