Lukas' Notes

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Probability

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Probability

Probability is a measure of uncertainty of the occurrence of an event.

Fair Coin Toss

What is the probability of getting exactly 1 head out of 3 tosses?

Sample Space: Listing all possible outcomes:

Event: There are 3 outcomes in the “exactly 1 head”event

Probability: With all outcomes being equally likely, we get:

107.254 Statistics and Probability Theory
Bayes Theorem
Bernoulli Distribution
Bernoulli Experiment
Best-of-Two Approximation Algorithm for Maximum Satisfiability
Binary Supervised Learning Algorithm (PAC-learning)
Binomial Distribution
Bloom Filter
Boltzman Distribution
Born Rule
Conditional Probability
Confidence Interval
Continuity (Utility Theory)
Continuous Random Variable
Critical Brain Hypothesis
Cryptographic Hash Function
Decomposability (Utility Theory)
Failure Probability (PAC-learning)
Generalisation Error
Geometric Distribution
Heterophilic Graph
Homophilic Graph
Law of Total Probability
Logit
Lottery
Markov Property
Measurable Space
Measurement (Quantum Computing)
Monotonicity (Utility Theory)
Nondeterministic vs. Stochastic
Normal Distribution (Old)
One-Time-Pad
PAC Learning
Positive Semidefinite Operator
Possible Outcome
Probability Amplitude
Probability Distribution
Probability Mass Function
Probability Mass
Probability Measure
Probability Theory
Probability of an Empty Event
Probably Approximately Correct Learning
Randomness
Raw Moment
Realisable PAC-Learnable Hypothesis Class
Risk
Set of all Events
Superposition (Quantum Computing)
Uniform Distribution
Uniform Probability Distribution
The Perceptron - A probabilistic model for information storage and organisation in the brain