🎲
Conditional Probability
★★★☆☆High School
📖Definition
Conditional probability P(A|B) is the probability of event A occurring given that event B has occurred.
📐Formulas
P(A|B) = (P(A ∩ B))/(P(B))
Definition of conditional probability
P(A ∩ B) = P(A|B) · P(B)
Multiplication rule
P(A|B) = (P(B|A) · P(A))/(P(B))
Bayes' theorem
✏️Examples
예제 1
From 52 cards, given that a heart was drawn, find P(it's a King).
⚡Applications
Medicine
Disease diagnosis, test interpretation
Spam Filtering
Bayesian spam classification
Machine Learning
Naive Bayes classifier
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