Free Probability MCQs with Answers
41 Probability MCQs from Statistics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
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41 questions · page 3 of 5
21. If the events have same chance of occurrence they are called:_______________?
- A. Equally likely events
- B. Exhaustive events
- C. Mutually Exhaustive events
- D. dependent events
Explanation: Events with equal chances of occurring are called equally likely events. Exhaustive events concern covering all possible outcomes, not having equal probabilities.
Correct answer: Equally likely events22. Two event are said to be equally likely is ______________?
- A. As any other
- B. both event occurs
- C. One occurs
- D. not both occurs
Explanation: Equally likely events have the same probability as one another, so each occurs with the same chance as any other event under consideration. Option a is the only choice expressing this idea, although the wording is incomplete.
Correct answer: As any other23. A subset of the sample space is called _________________?
- A. Sample point
- B. Set
- C. Event
- D. Space
Explanation: An event is any subset of the sample space, including a single outcome or several outcomes. A sample point is only one individual outcome, not a collection of outcomes.
Correct answer: Event24. The collection of one or more outcomes from an experiment is called:__________________?
- A. Probability
- B. Event
- C. Random Variable
- D. Z-Value
- E. Random Experiment
Explanation: An event is a collection of one or more outcomes from a random experiment. A random variable assigns numerical values to outcomes, so it is not the collection itself.
Correct answer: Event25. In special rule of addition of probability, the events are Always:_______________?
- A. Independent events
- B. Mutually Exclusive events
- C. Bayesian
- D. Empirical
Explanation: The special addition rule applies when events are mutually exclusive, so they cannot occur together and their probabilities are added directly. Independent events may occur together, so they require the general addition rule with a subtraction term.
Correct answer: Mutually Exclusive events26. The joint probability is _______________?
- A. The likelihood of two events happening together
- B. The likelihood of two events happening given that another event has already ha
- C. Based on two mutually exclusive events
- D. Also called Prior probability
Explanation: Joint probability measures the chance that two events occur together, written as P(A∩B). The likelihood of one event given another is conditional probability, not joint probability.
Correct answer: The likelihood of two events happening together27. If a card is chosen from a standard deck of cards, what is the probability of getting a five or a seven ?
- A. 4/52
- B. 1/26
- C. 8/52
- D. 1/169
Explanation: There are four fives and four sevens, giving 8 favourable cards out of 52. Thus the probability is 8/52, which can also be simplified to 2/13.
Correct answer: 8/5228. In which approach to probability the outcomes are equally likely to occur ?
- A. Classical Probability
- B. Subjective Probability
- C. Relative Frequency
- D. Independent
Explanation: Classical probability assumes that all outcomes are equally likely, such as the outcomes of a fair die. Relative-frequency probability is based on observed data, while subjective probability depends on personal judgment.
Correct answer: Classical Probability29. If a card is chosen from a standard deck of cards, what is the probability of getting a diamond (♦) or a club (♣)?
- A. 26/52=1/2
- B. 13/52
- C. 20/52
- D. 12/52
Explanation: A standard deck has 13 diamonds and 13 clubs, and these suits do not overlap. Therefore there are 26 favourable cards out of 52, giving 26/52=1/2.
Correct answer: 26/52=1/230. If 'A' denotes the males of a town and 'B' denotes the females of that town, then A and B are:___________?
- A. Equal sets
- B. Over lapping sets
- C. Non- overlapping sets
- D. None of these
Explanation: A person cannot be both male and female under the categories stated, so the two sets have no common elements. Such sets are called mutually exclusive or non-overlapping sets.
Correct answer: Non- overlapping sets