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📐 Mathematics  ·  Probability  ·  JEE

Negative Binomial distribution gives probability of:

Answer: Exactly k failures before r-th success.

  • A Exactly k failures before r-th success
  • B Exactly k successes in n trials
  • C Time between events
  • D First success on trial k

Correct answer: A. Exactly k failures before r-th success

Explanation: Negative Binomial: number of failures before r-th success (or k-th success on specified trial), generalizing geometric distribution.

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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