All Free Statistics MCQs with Answers
Every Statistics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
545 questions · page 50 of 55
491. The picture cards having in total fifty two cards is equal_________________?
- A. 16
- B. 24
- C. 12
- D. Non of these
Explanation: In a standard 52-card deck, the picture cards are the jacks, queens, and kings in four suits, so there are 3 × 4 = 12. Thus option c is correct.
Correct answer: 12492. Events occurring together without affecting each other are called:_________________?
- A. Dependent events
- B. Independent events
- C. Equally likely events
- D. Mutually Exclusive events
Explanation: Independent events occur without changing each other’s probabilities, so the occurrence of one does not affect the other. Dependent events, in contrast, influence one another.
Correct answer: Independent events493. 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 events494. 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 other495. 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: Event496. 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: Event497. 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 events498. 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 together499. 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: 8/52500. 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 Probability