Zaymiey

📐 Mathematics  ·  Probability  ·  JEE

Bayes' theorem is used to:

Answer: Update probability of hypothesis given new evidence.

  • A Add the probabilities of two mutually exclusive events
  • B Update probability of hypothesis given new evidence
  • C Multiply the probabilities of two independent events together
  • D Find the complement probability of a single given event

Correct answer: B. Update probability of hypothesis given new evidence

Explanation: Bayes' theorem updates prior probabilities using new evidence. P(H|E) = P(E|H)P(H)/P(E).

UABA and BA onlyB onlyOutside both circles: complement of (A union B)

Venn diagram of the universal set U with events A and B, showing the intersection (A and B), the parts unique to each event, and the complement region outside both.

Concept context

Chance, events, conditional probability, and Bayes theorem

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