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GMAT Probability — practice questions — page 4

Explore 104 free Probability questions in GMAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Probability questions and exercises with answers

Showing questions 91–104 of 104.

Which classic puzzle asks how to fairly divide stakes when a game is stopped early?Read the answer and worked solution →Pascal and Fermat held that the value of a future gain is proportional to what?Read the answer and worked solution →Who first thought systematically about expectations of random variables in the mid-nineteenth century?Read the answer and worked solution →Harold Jeffreys compared Bayes' theorem in probability to which result in geometry?Read the answer and worked solution →Cardano defined odds as the ratio of which two quantities?Read the answer and worked solution →Insurers and markets use which field to determine pricing?Read the answer and worked solution →Which theory do product designers use to reduce the probability of failure?Read the answer and worked solution →Events that cannot occur at the same time on one trial are called?Read the answer and worked solution →The event 'A does not occur' is known as which of A?Read the answer and worked solution →The chance that both A and B occur on a single trial is called?Read the answer and worked solution →Which branch of physics needs probability theory to describe sub-atomic phenomena?Read the answer and worked solution →How is P(A|B) read?Read the answer and worked solution →The product rule P(A and B) = P(A)P(B) holds when A and B are?Read the answer and worked solution →In Kolmogorov's formulation, probability is a measure on what?Read the answer and worked solution →

Worked practice questions

Which classic puzzle asks how to fairly divide stakes when a game is stopped early?

  1. St Petersburg problem
  2. problem of points
  3. Bertrand's paradox
  4. Monty Hall problem
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Correct answer: B. problem of points

The problem of points concerns splitting the stakes of an unfinished game fairly between two players.

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Pascal and Fermat held that the value of a future gain is proportional to what?

  1. the chance of getting it
  2. the time until it arrives
  3. the number of players
  4. the variance of the game
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Correct answer: A. the chance of getting it

Their shared principle was that a prospective gain is worth in proportion to its probability.

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Who first thought systematically about expectations of random variables in the mid-nineteenth century?

  1. Adrien Legendre
  2. Pierre Laplace
  3. Blaise Pascal
  4. Pafnuty Chebyshev
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Correct answer: D. Pafnuty Chebyshev

Chebyshev was the first to treat expectations of random variables systematically.

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More Quantitative Aptitude topics

Permutations and CombinationsAlgebraModern MathematicsQuantitative AptitudeData InterpretationAveragesInterestProfit and Loss