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 4 of 5
31. 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: 0.832. 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: 1/333. 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: 1/434. 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: 13/5235. 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: Two36. 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: Random37. 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: Piont38. 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 outcomes39. The probability of a save event is equal to _________________?
- A. Two
- B. Three
- C. Four
- D. One
Explanation: A sure event always occurs, so its probability is 1. The word “save” is evidently intended to be “sure.”
Correct answer: One40. The basic random numbers are ________________?
- A. 0 and 1
- B. 0,1,2,............9
- C. 1,2,3....10
- D. None of these
Explanation: Basic random digits are the ten digits from 0 through 9, commonly used to construct random numbers for sampling and simulation.
Correct answer: 0,1,2,............9