What is the probability of a sure event?
Correct answer B. One
Topic / 47 questions
Probability MCQs
Probability MCQs are multiple-choice questions on measuring how likely events are, covering sample spaces, addition and multiplication rules, independent events and classic coin, dice and card problems. They help statistics students and candidates for NTS, PPSC, lecturer tests, SSC CGL and bank exams. Every question displays its answer instantly, so you can check your reasoning step by step.
When three dice are rolled, how many outcomes are in the sample space?
Correct answer B. 216 outcomes
When a fair die is rolled, what is the probability of getting an even number (or an odd number)?
Correct answer C. 3/6
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A list of all possible sample ____ is called the sample space. What fills the blank?
Correct answer C. Points
What is the probability of drawing a diamond from a pack of 52 cards?
Correct answer C. 13/52
If two dice are thrown, what is the probability that both show the same number?
Correct answer C. 6/36
When two fair coins are tossed once, what is the probability of getting exactly two heads?
Correct answer D. 1/4
A coin is weighted so that P(T) = 2P(H). What is P(H)?
Correct answer A. 1/3
If P(B|A) = 0.25 and P(A ∩ B) = 0.2, what is P(A)?
Correct answer D. 0.8
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What does A ∩ B mean?
Correct answer B. The elements of A and B
If A is the set of males in a town and B the set of females in that town, what are A and B?
Correct answer B. Non-overlapping sets
If one card is chosen from a standard pack, what is the probability that it is a diamond (♦) or a club (♣)?
Correct answer B. 26/52 = 1/2
What is a list of the possible outcomes of an experiment together with their probabilities called?
Correct answer E. Probability distribution
In which approach to probability are the outcomes assumed to be equally likely?
Correct answer D. Classical Probability
If one card is chosen from a standard pack, what is the probability that it is a five or a seven?
Correct answer B. 8/52
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What is joint probability?
Correct answer A. The likelihood of two events happening together
In the special rule of addition of probability, what must the events always be?
Correct answer D. Mutually Exclusive events
What is a collection of one or more outcomes of an experiment called?
Correct answer B. Event
Which of these would not be described by a discrete probability distribution?
Correct answer C. The sale or purchase price of a house
What is a subset of the sample space called?
Correct answer D. Event
About Probability MCQs
This category covers the foundations of probability. Questions ask about random experiments and their common properties, trials repeated one after another, sample spaces for coin tosses, the probability of sure and impossible events and factorials as the product of the first n natural numbers. Rules of addition are tested, including the special rule that applies only to mutually exclusive events and the general rule using intersection.
Applied problems make up the rest, such as the probability of at least one head when two fair coins are tossed or of drawing a five or a seven from a standard deck. Independent events, where one outcome does not affect another, are also covered. Probability appears in statistics papers and in quantitative aptitude sections, so practising both theory and calculations is useful.
Key facts to remember
- The probability of a sure event is 1, and of an impossible event is 0.
- The special rule of addition applies only to mutually exclusive events.
- For two independent events, P(A and B) equals P(A) multiplied by P(B).
- The probability of at least one head in two fair coin tosses is 3/4.
- The probability of drawing a five or a seven from a standard deck is 2/13.
Exams that include Probability MCQs
Pakistan
- PPSC
- FPSC
- NTS
- GAT
- Lecturer tests
- Banking job tests
India
- SSC CGL
- IBPS PO
- SBI PO
- UGC NET
- Campus placements
Bangladesh
- BCS
- Bank job exams
- University admission tests (DU, RU, JU)
How to prepare for Probability MCQs
- List the full sample space for small coin and dice problems, which prevents missed outcomes in 'at least' questions.
- Use the complement rule for 'at least one' questions, subtracting the probability of none from 1.
- Check whether events are mutually exclusive or independent before choosing the addition or multiplication rule.
- Remember that a standard deck has 52 cards with four of each rank, which solves most card questions.
Frequently asked questions
What topics are covered in Probability MCQs?
Probability MCQs cover random experiments, sample spaces, events, classical and relative frequency definitions, addition and multiplication rules, mutually exclusive and independent events, conditional probability, factorials and counting, and practical problems with coins, dice and playing cards.
How many Probability MCQs are on MCQs360?
MCQs360 has 53 Probability MCQs in the statistics section, each with an instant answer. You can practise free with no sign-up and follow this topic with statistical inference to cover the main areas of statistics.
Which exams ask Probability MCQs?
Probability questions appear in statistics lecturer and statistical officer tests run by PPSC and FPSC, and in NTS, GAT and banking job tests in Pakistan. In India they are common in SSC CGL, IBPS and SBI exams, UGC NET and campus placements. In Bangladesh they feature in BCS and bank job exams.
What is the difference between mutually exclusive and independent events?
Mutually exclusive events cannot happen at the same time, such as getting a head and a tail on one coin toss, so P(A and B) is zero. Independent events can both happen, but one does not change the probability of the other, such as tossing two separate coins, so P(A and B) equals P(A) multiplied by P(B).
Last reviewed October 2026