Probability Theory

(ทฤษฎีความน่าจะเป็น)

Definition

Probability Theory (ทฤษฎีความน่าจะเป็น) Hard Skill

Probability theory is the branch of mathematics concerned with analyzing random phenomena and quantifying the likelihood of different outcomes.

Expertise Level

skill-level-0

Level 1

Basic

1. Understands fundamental concepts such as experiments, outcomes, and sample spaces.

2. Can calculate simple probabilities of basic events.

3. Recognizes common probability terms like independent and dependent events.

skill-level-1

Level 2

Intermediate

1. Applies probability rules such as addition and multiplication rules correctly.

2. Can analyze compound events including conditional probability.

3. Understands discrete and continuous probability distributions.

skill-level-2

Level 3

Advanced

1. Can apply advanced concepts such as Bayesian inference and Markov chains.

2. Analyzes complex stochastic processes and random variables.

3. Uses probability theory to solve real-world problems and model uncertainty.

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