Conditional Probability Trivia Quiz
The concept of conditional probability is one of the most fundamental and one of the most important in probability theory. It is a measure of the probability of an event, with some specific situation occurring, given that another event has taken place.
Questions and Answers
- 1.
What can be used to reverse conditional probability?
- A.
Baye's theorem
- B.
Basic Probability
- C.
Reverse Probability
- D.
Omega theorem of events
Correct Answer
A. Baye's theoremExplanation
Bayes' theorem is a mathematical formula that can be used to reverse conditional probability. It allows us to calculate the probability of an event A given that event B has already occurred, by using the probability of event B given event A and the individual probabilities of event A and event B. This theorem is widely used in various fields, including statistics, machine learning, and data analysis, to update probabilities based on new evidence or information. Therefore, Bayes' theorem is the correct answer for reversing conditional probability.Rate this question:
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- 2.
The conditional probability of A given B is defined as the quotient of the probability of the joint of events A and B, and the probability of B. Whose definition is this?
- A.
Damien
- B.
Hopf
- C.
Kolmogrov
- D.
Bryan
Correct Answer
C. KolmogrovExplanation
The definition of conditional probability given in the question is attributed to Kolmogorov.Rate this question:
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- 3.
Which of these authors prefers to introduce conditional probability as an axiom of probability?
- A.
Conti
- B.
De finetti
- C.
Kolmogrov
- D.
Axiel Sappach
Correct Answer
B. De finettiExplanation
De Finetti is the author who prefers to introduce conditional probability as an axiom of probability. This means that he believes that conditional probability should be a fundamental principle or assumption in probability theory. This approach is different from other authors who may introduce conditional probability as a derived concept or define it in terms of other probability concepts.Rate this question:
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- 4.
What is a specified subset of an outcome called?
- A.
Space
- B.
Event
- C.
Total outcome
- D.
Expected outcome
Correct Answer
B. EventExplanation
A specified subset of an outcome is called an event.Rate this question:
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- 5.
Which of these describes the behavior of an event?
- A.
Space
- B.
Laws of Indices
- C.
Law of large numbers
- D.
Law of possible outcome
Correct Answer
C. Law of large numbersExplanation
The behavior of an event is described by the Law of large numbers. This law states that as the number of trials or observations of an event increases, the average outcome of those trials will converge to the expected value. In other words, the more times an event is repeated, the closer the observed results will be to the predicted probability. This law is commonly used in statistics and probability theory to understand the long-term behavior of random events.Rate this question:
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- 6.
Probability is essential to what type of data analysis?
- A.
Qualitative
- B.
Graphical
- C.
Pictorial
- D.
Quantitative
Correct Answer
D. QuantitativeExplanation
Probability is essential to quantitative data analysis because it provides a way to measure and predict the likelihood of different outcomes or events in numerical terms. Quantitative data involves numerical values and can be analyzed using statistical methods, which often rely on probability theory. By calculating probabilities, researchers can make informed decisions, draw conclusions, and make predictions based on the data.Rate this question:
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- 7.
Which of these is not a central subject of probability?
- A.
Stochastic Process
- B.
Space and Event
- C.
Probability Distribution
- D.
Discrete random variable
Correct Answer
B. Space and EventExplanation
The central subjects of probability include stochastic processes, probability distributions, and discrete random variables. However, space and event are not considered central subjects of probability. Probability theory primarily focuses on the study of uncertainty and the likelihood of events occurring, rather than on the concepts of space and event.Rate this question:
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- 8.
Which of these was a discovery in the twentieth century in Physics?
- A.
Quantum-Probability Relationship
- B.
Analytical work of space floating
- C.
Deterministic nature of theory
- D.
Probabilistic nature of physical phenomena
Correct Answer
D. Probabilistic nature of physical phenomenaExplanation
In the twentieth century, one of the major discoveries in physics was the realization that physical phenomena have a probabilistic nature. This means that instead of being completely deterministic, events in the physical world have an inherent element of randomness. This discovery, often associated with quantum mechanics, challenged the classical view of a clockwork universe and opened up new avenues of understanding in the field of physics.Rate this question:
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- 9.
Who published a book on Probability in 1657 during the early days of probability discovery?
- A.
Pierre Laplace
- B.
Blaise Pascal
- C.
Christiaan Huygens
- D.
Kolmogrov
Correct Answer
C. Christiaan HuygensExplanation
Christiaan Huygens published a book on Probability in 1657 during the early days of probability discovery. Huygens was a Dutch mathematician, astronomer, and physicist who made significant contributions to various fields of science. His book, "De Ratiociniis in Ludo Aleae" (On Reasoning in Games of Chance), laid the foundation for the mathematical theory of probability and introduced concepts such as expected value and the concept of mathematical expectation. Huygens' work played a crucial role in the development of probability theory and its applications in various disciplines.Rate this question:
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- 10.
Who completed the research on mordern day "classic interpretation"?
- A.
Pierre Laplace
- B.
Kolmogrov
- C.
Pierre de Fermat
- D.
Blaise Pascal
Correct Answer
A. Pierre LaplaceExplanation
Pierre Laplace completed the research on modern day "classic interpretation".Rate this question:
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Current Version
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Mar 21, 2023Quiz Edited by
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Apr 09, 2019Quiz Created by
Gregorynaomi
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