15+ Probability Questions and Answers | Quantitative Aptitude

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Probability Questions and Answers

Probability Questions and Answers: The Probability Questions are an important part of the quantitative aptitude section in the upcoming government exams.

Start your preparation by solving these questions. In this blog, we will review the fundamentals of Probability Questions, the types of questions asked in previous year exams and how to approach them. This will help you clear your basics and answer these Probability Questions.

What is Probability?

The term “Probability” means the probability of any occurrence. It usually means that an event is likely to happen. This term “Probability” can be applied to different maths problems. 

“Probability Problems” are a part of the Quantitative aptitude test. The Probability questions can be asked in numerical form and can also be expressed as decimals, percentages or fractions.

Probability Formula- The basic formula of probability is P(A) = f / N

15 + Probability Questions and Answers

Question 1: A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

A) 2/91B) 1/22
C) 3/22D) 2/77

Answer: A) 2/91

Question 2: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

A) 2/7B) 5/7
C) 1/5D) 1/2

Answer: A) 2/7

Question 3: Two dice are tossed. The probability that the total score is a prime number is:

A) 5/12B) 1/6
C) 1/2D) 7/9

Answer: A) 5/12

Question 4: A man and his wife appear in an interview for two vacancies in the same post. The probability of the husband’s selection is (1/7) and the probability of the wife’s selection is (1/5). What is the probability that only one of them is selected?

A) 2/7B) 1/7
C) 3/4D) 4/5

Answer: C) 3/4

Question 5: A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

A) 1/4B) 1/2
C) 3/4D) 7/12

Answer: A) 5/12

Question 6: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

A) 1/2B) 3/5
C) 9/20D) 8/15

Answer: C) 9/20

Question 7: A bag contains 6 white and 4 black balls .2 balls are drawn at random. Find the probability that they are of the same colour.

A) 1/2B) 7/15
C) 8/15D) 1/9

Answer: B) 7/15

Question 8: Two cards are drawn at random from a pack of 52 cards. What is the probability that either both are black or both are queen?

A) 52/221B) 55/190
C) 55/221D) 19/221

Answer: C) 55/221

Question 9: From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

A) 1/15B) 1/221
C) 25/57D) 35/256

Answer: B) 1/221

Question 10: In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

A) 1/3B) 3/5
C) 8/21D) 7/21

Answer:  1/13

Question 11: One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

A) 3/13B) 1/13
C) 3/52D) 9/52

Answer: A) 3/13

Question 12: A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

A) 3/7B) 4/7
C) 1/8D) 3/4

Answer: B) 4/7

Question 13: Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

A) 3/20B) 29/34
C) 47/100D) 13/102

Answer: D) 13/102

Question 14: Three unbiased coins are tossed. What is the probability of getting at most two heads?

A) 3/4B) 7/8
C) 1/2D) 1/4

Answer: B) 7/8

Question 15: What is the probability of getting a sum of 9 from two throws of a dice?

A) 1/2B) 3/4
C) 1/9D) 2/9

Answer: C) 1/9

Question 16: In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he. has offered English or Hindi?

A) 1/2B) 3/4
C) 4/5D) 2/5

Answer: D) 2/5

Must Read: 50+ Verbal Classification Questions with Answers

Tips To Solve Probability Questions

Here are some tips for solving probability questions:

  1. Know the single outcome first.
  2. Make sure to start from your basics.
  3. Focus on rare problems.
  4. Keep a check on your speed.
  5. Focus on your weaker areas.

Must Read: 31+ Questions of Matching Definitions Reasoning with Answers


What are some examples of probability questions?

Some examples of probability scenarios are Forecasting the weather, Insurance, Traffic signals, and Election results.

How many types of probability are there?

There are 4 types of probability are there such as classical, empirical, subjective and axiomatic. 

What does “probability” mean in aptitude? 

The meaning of probability in the aptitude test is the measure of the possibility of an event occurrence.


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This was all about the “20 + Probability Questions and Answers”.  For more such informative blogs, check out our Study Material Section, or you can learn more about us by visiting our  Indian exams page.

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