Cognitive Scaffold

Preparing your thinking workspace

arrow_back_ios_new
MENTAL MODEL · M10445

Conditional Probability

Conditional Probability
TechnicalHigh supportProbability Theory
Included
account_tree

Version 1.0.0 · Updated 2026-07-30

CORE DEFINITION

The probability of an event occurring under a certain condition: P(A|B) = P(A∩B) / P(B) — the condition changes the probability.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

Context-dependent probability. The probability of the same event can be completely different under different conditions. (Merge: conditional probability, conditional probability model, conditional probability tree, conditional probability inference, conditional probability reset)

anchor

Anchor fast decisions

The probability of A occurring given that event B has occurred: P(A|B)=P(A∩B)/P(B), which is the foundation of Bayes and inference.

MINIMUM ACTION

In progress 0/3

Practice this model in one real situation:

Check to track your progress (stored locally)
Learning progress0%
account_treeGenealogyexpand_more
menu_bookReferencesexpand_more

Source support: Explicit

  • link
    en.wikipedia.orghttps://en.wikipedia.org/wiki/Conditional_probabilityZH · Explicit
    verified

RELATED MODELS

Related model

Multi-Armed Bandit

A gambler faces a row of slot machines, each with different and unknown expected rewards.

arrow_forwardRelated model

Russian Roulette

Russian Roulette (Russian: Русская рулетка, romanized: Russkaya ruletka) is a suicidal gambling game or method of torture, allegedly originating in Russia. Participants place one or more bullets into the chambers of a revolver's cylinder (in most cases, a revolver has six chambers, with one bullet loaded at a time, though exceptions exist), then close the cylinder and spin it rapidly. After the spinning stops, participants take turns pointing the gun at their own heads and pulling the trigger until someone is shot or refuses to pull the trigger. Due to its lethality, many countries explicitly prohibit this game, and participants can be prosecuted for murder.

arrow_forwardRelated model

Littlewood's Law

Littlewood's law states that a person can expect to experience events with odds of one in a million (referred to as a "miracle") at the rate of about one per month. It is named after the British mathematician John Edensor Littlewood. It seeks, among other things, to debunk one element of supposed su…

arrow_forward