Paper II · 3 Probability · 3.2 Probability and probability distributions

3.2.1 Conditional probability, independent events, total probability and Bayes' theorem

Conditional probability P(B | A) is the chance of B after we know A has happened; events are independent when this knowledge changes nothing, the total probability theorem adds up the routes to an event, and Bayes' theorem turns the question around to find which route was taken.

  • TGPSC MPSO / ASO · Paper II
  • Advanced level
  • 8 min read
  • Full course

Key terms

  • conditional probability
  • multiplication theorem
  • independent events
  • pairwise independence
  • mutual independence
  • dependent events
  • partition
  • theorem of total probability
  • Bayes theorem
  • prior probability
  • posterior probability
  • likelihood
  • inverse probability

What this note covers

  1. Core factsFoundation
  2. ExplainedStandard
  3. DeeperAdvanced
  4. Common trapsFoundation
  5. Quick revisionFoundation

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