## Randomness and Probability Calculus

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## 1.Laplace Probability

## 2.Random Sample Models

## 3.**Definition**: Independent Events

## 4.**Definition**: Conditional Probability

## 5.**Theorem**: Law of Total Probability

## 6.**Theorem**: Bayes' Theorem

## 7.**Definition**: Random Experiments and Random Events

## 8.**Definition**: Probability and its Axioms (Kolmogorov, 1933)

## 9.**Definition**: Mutually Exclusive and Collectively Exhaustive Events

## 10.**Definition**: Geometric Probability

## 11.**Proposition**: Urn Model Without Replacement

## 12.**Proposition**: Urn Model With Replacement