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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11. The probability of getting at least one head when two balance coins are tossed once __________________?
- A. 1/4
- B. 2/4
- C. 3/4
- D. 4/4
Explanation: With two fair coins, the four equally likely outcomes are HH, HT, TH, and TT. Three contain at least one head, so the probability is 3/4.
Correct answer: 3/412. The probability of getting exactly three tails when three balanced coins are tossed once _______________?
- A. 1/8
- B. 2/8
- C. 5/8
- D. 7/8
Explanation: Only one outcome, tails-tails-tails, gives exactly three tails. With three fair coins there are 2^3 = 8 equally likely outcomes, so the probability is 1/8.
Correct answer: 1/813. The probability that the sum is odd if two dice are thrown:_________________?
- A. 18/36
- B. 9/36
- C. 6/36
- D. 12/36
Explanation: A sum of two dice is odd when one die shows an odd number and the other an even number. There are 3 × 3 + 3 × 3 = 18 such outcomes out of 36, giving 18/36.
Correct answer: 18/3614. A box containing 12 balls of color 6 red and 6 white. A ball of white selected ball finds the probability of white____________?
- A. 7/12
- B. 6/12
- C. 12/12
- D. 4/12
Explanation: The probability is favourable outcomes divided by total outcomes. Six white balls out of 12 balls give 6/12, which can also be simplified to 1/2.
Correct answer: 6/1215. The probability of drawing an even number in a toss of a balanced die ______________?
- A. 1/6
- B. 2/6
- C. 3/6
- D. 6/6
Explanation: The even outcomes on a die are 2, 4, and 6, giving three favourable outcomes out of six. Therefore the probability is 3/6, or 1/2.
Correct answer: 3/616. The probability of drawing a picture card out of 52 cards is : ______________?
- A. 13/52
- B. 12/52
- C. 16/52
- D. 3/52
Explanation: Picture cards are jacks, queens, and kings: 3 ranks in each of 4 suits, making 12 cards. Hence the probability is 12/52, which simplifies to 3/13.
Correct answer: 12/5217. The probability of an event cannot be _____________?
- A. Positive
- B. Zero
- C. None of these
- D. Negative
Explanation: Probability ranges from 0 to 1, so it may be zero but cannot be negative. A negative value has no meaning as an event probability.
Correct answer: Negative18. If an event consists of only one sample point is called _____________?
- A. Appeared
- B. Exactly
- C. Space
- D. Elementary event
Explanation: An elementary event contains exactly one sample point, such as obtaining a six when rolling a die. The other choices are not the standard term for this event.
Correct answer: Elementary event19. 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: 1220. 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 events