ST11 · Events 1 / Events 2 / Conditional 1 Combined events and conditional probability mind map

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ST11 · Events 1 / Events 2 / Conditional 1 Combined events and conditional probability mind map

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Events 1

Sample spaces: Ordered outcomes can be equally likely while sums are not.
Exclusive and exhaustive: No overlap differs from covering every outcome.
Add exclusive probabilities: Add disjoint alternatives only.
Independence: Independence means unchanged conditional probability.

Events 2

Tree diagrams: Multiply along paths; add relevant distinct paths.
Without replacement: Removal changes the next conditional probability.

Conditional 1

Conditional notation: Given event defines the restricted denominator.
Two-way tables: Conditional group total differs from grand total.
Venn conditional events: Intersection ÷ all inside the given set.
At least one: At least one and exactly one are different events.

Connections

Events 1 → Events 2: Event relationships determine how tree probabilities change and how distinct paths combine.
Events 2 → Conditional 1: Successive tree branches encode the conditional probabilities also calculated from tables and Venn regions.