alleryA die is rolled and Rs 30 is paid if the score is even, otherwise nothing. Expected payoff?
- Rs 30
- Rs 10
- Rs 15
- Rs 5
Show answer and solution
Correct answer: C. Rs 15
The chance of an even score is 1/2, so the expectation is 30 x 1/2 = Rs 15.
CA Foundation Probability — practice questions — page 2
Explore 57 free Probability questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–57 of 57.
A die is rolled and Rs 30 is paid if the score is even, otherwise nothing. Expected payoff?Read the answer and worked solution →The probability of an event is a number lying between which two values?Read the answer and worked solution →In which year did Fermat and Pascal begin their famous correspondence on probability?Read the answer and worked solution →Christiaan Huygens gave the earliest known scientific treatment of probability in which year?Read the answer and worked solution →In which year did Andrey Markov introduce the notion of Markov chains?Read the answer and worked solution →Jakob Bernoulli's Ars Conjectandi appeared posthumously in which year?Read the answer and worked solution →The set of all possible results of an experiment is called its?Read the answer and worked solution →Which view treats probability as the relative frequency of an outcome over repeated trials?Read the answer and worked solution →Which interpretation of probability treats it as a degree of belief?Read the answer and worked solution →Bayes's essay on the doctrine of chances was published in which year?Read the answer and worked solution →In Bayes' rule, the posterior is proportional to the prior times which quantity?Read the answer and worked solution →Which result relates P(A given B) to its inverse P(B given A)?Read the answer and worked solution →The use of the letter E for expected value goes back to Whitworth in which year?Read the answer and worked solution →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
The probability of an event is a number lying between which two values?
- -1 and 1
- 0 and 1
- 1 and 10
- 0 and 10
Show answer and solution
Correct answer: B. 0 and 1
A probability is never negative and never exceeds the certain event, which is 1.
In which year did Fermat and Pascal begin their famous correspondence on probability?
- 1594
- 1812
- 1654
- 1713
Show answer and solution
Correct answer: C. 1654
Their letters on dividing stakes in an interrupted game date from 1654.
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