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 51 of 55
501. 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=1/2502. 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 sets503. If P(B/A)= 0.25 and P(A∩B) = 0.2 then P(A) will equal to _______________?
- A. 0.05
- B. 0.75
- C. 0.8
- D. 0.45
Explanation: Using P(B|A)=P(A∩B)/P(A), substitute 0.25=0.2/P(A). Rearranging gives P(A)=0.2/0.25=0.8.
Correct answer: 0.8504. A coin is so weighted that P (T) = 2P(H) then P(H) is _______________?
- A. 1/2
- B. 1
- C. 2/3
- D. 1/3
Explanation: Since the two possible outcomes exhaust the probability, P(H)+P(T)=1. Substituting P(T)=2P(H) gives 3P(H)=1, so P(H)=1/3.
Correct answer: 1/3505. The probability of getting exactly two heads when two balanced coins are toss once_________________?
- A. 1/4
- B. 2/4
- C. 3/4
- D. 4/4
Explanation: With two balanced coins, the equally likely outcomes are HH, HT, TH and TT. Exactly two heads occurs only as HH, giving a probability of 1/4.
Correct answer: 1/4506. The probability of drawing a diamond card out of 52 cards is ______________?
- A. 13/52
- B. 1/2
- C. 4/52
- D. 0
Explanation: A standard deck has 13 diamond cards among 52 cards. Therefore, the probability of drawing a diamond is 13/52, which simplifies to 1/4.
Correct answer: 13/52507. All experiments have _______ properties in common?
- A. Four
- B. Three
- C. Two
- D. One
Explanation: A probability experiment has two key features: its possible outcomes are specified, but the particular outcome cannot be predicted with certainty before the experiment. Thus, the expected number is two.
Correct answer: Two508. A experiment repeated number of time one by one is called _________________?
- A. Random
- B. Raw data
- C. Introduce
- D. Specified
Explanation: An experiment whose outcome is uncertain and which can be repeated under similar conditions is called a random experiment. The other choices do not name a type of experiment.
Correct answer: Random509. A list of sample _________ is called sample space?
- A. Events
- B. Subset
- C. Piont
- D. Distinct
Explanation: A sample space is the set or list of all possible sample points, or outcomes, of an experiment. “Piont” is a misspelling of “point,” but it identifies the intended answer.
Correct answer: Piont510. when a three die rolled the sample space consists of _____________?
- A. 6 outcomes
- B. 24 outcomes
- C. 216 outcomes
- D. Non of these
Explanation: Each of the three dice has 6 possible outcomes, and the choices combine independently. The total number of ordered outcomes is 6×6×6=6^3=216.
Correct answer: 216 outcomes