Probability Questions for Bank Exams

Probability can become your easiest scoring topic in bank exams if concepts are clear. Yes, Probability is one of the most scoring and concept-driven topics in Quantitative Aptitude for bank exams. It tests a candidate’s logical thinking, analytical ability, and decision-making skills through situations based on chance, uncertainty, and outcomes. From exam halls to real-world banking applications like risk analysis, insurance calculations, and financial forecasting, probability plays a powerful role in practical decision-making.

Probability Questions for Bank Exams

In banking exams, probability questions can vary from simple event-based calculations to advanced problems involving permutations, combinations, multiple events, and conditional probability. With the right concepts and smart practice, this topic can become a major score booster. Understanding important formulas, independent and dependent events, and shortcut techniques can help aspirants solve questions quickly and accurately under time pressure. This guide covers all the essential concepts, important question types, and expert tips to help you master Probability for bank exams with confidence.

Question (1-10) : Answer the following Questions of the Probability that are listed below:

1) Bag A contains 5 blue and 6 red balls, bag B contains 7 blue and 5 red balls. If 6 balls are drawn at random from each of the bags, find the product of the probability that 4 blue and 2 red balls are drawn from bag A and 3 blue and 3 red balls are drawn from bag B.

A. 1621/35802

B. 1750/35574

C. 1623/35082

D. 1619/35820

E. none of these

2) A bag contains 6 apple, 5 Banana and (x+4) Orange. If two fruits are taken at random and the probability of getting both are apple is 1/14, then find the value of x.

A.5

B.6

C.4

D.8

E.None of these

3) The box contains a certain number of red balls and certain number of green balls. If two balls are selected randomly, the probability that balls being red is 1/6, then find the total number of balls in that box?

A. 10

B. 8

C. 7

D. 5

E. Cannot be determined

4) If 4 cards are drawn at random from a pack of cards, find the probability that at least 3 cards are spade cards.

A. 913/15000

B. 813/17000

C. 713/17000

D. 913/16000

E. 913/20825

5) A bag contains 6 red balls, three green balls and three pink balls. If two balls are drawn at random, then what is the probability that one ball is pink and other is green or one ball is red and other is pink?

A. 9/22

B. 8/23

C. 10/23

D. 9/19

E. None of these

6) A bag contains 4 red balls and 4 yellow balls. If four balls are picked at random, then what is the probability that balls picked alternatively are of different colour, if repetition not allowed?

A. 1/7

B. 6/35

C. 1/5

D. 8/35

E. None of these

7) An urn consists of some green, red and black balls. Total number of balls in the urn is 15. If two balls are picked, Probability that the two balls being green is 2/21. Now one ball is picked from the urn, find the probability that the ball is either red or black.

A. Cannot be determined

B. 2/15

C. 1/5

D. 1/10

E. 2/3

8) Two persons stole the gold chain. The probability of catching the first person is ¼. The probability of catching the second person is 1 / 6. What is the probability that only one of them is caught?

A. 6 / 12

B. 2 / 3

C. 1 / 3

D. 5 / 12

E. None of these

9) A bag contains (x + 3) pink, 4 blue and 6 white color balls. If two balls are taken random and the probability of getting both being blue color balls is 2/51, then find the total number of pink color balls?

A. 6 balls

B. 7 balls

C. 8 balls

D. 5 balls

E. None of these

10) There are three groups of fire extinguishers in a city i.e. P, Q and R. In group P there are (x-6) females and (x+21) males. In group Q, there are 3 females and 12 males whereas in group R, there are 5 females and 7 males. One person is selected at random from each group. Find the number of females in group P, if the probability of selecting all three males is 4/15.

A. 81

B. 85

C. 83

D. 71

E. 89

Answers :

1) Answer: B

2) Answer: B

3) Answer: E

4) Answer: E

5) Answer: A

6) Answer: B

7) Answer: E

8) Answer: C

9) Answer: C

10) Answer: A

Topic Wise Questions
Simplification Questions	Data interpretation
Quadratic Equation Questions	Profit & Loss Questions
Simple Interest Questions	Compound Interest Questions
Time & Distance Questions	Mixture & Allegation Questions

FAQs

What types of probability questions are commonly asked in bank exams?

Bank exams typically feature questions on simple probability, conditional probability, combinations and permutations, events (independent and dependent), Bayes’ theorem, and sometimes more complex problems involving probability distributions. Questions are often framed around real-life situations, such as drawing cards, rolling dice, or selecting items from a group.

Are probability questions difficult in bank exams?

Difficulty levels vary, but many probability questions in bank exams are designed to test basic understanding rather than advanced concepts. With practice, candidates can usually solve these questions quickly. The questions may appear tricky, but understanding the core concepts and practicing regularly will make them manageable.

How much time should I dedicate to probability in my preparation?

Since probability is just one component of the quantitative aptitude section, dedicating around 15-20% of your study time to it should be sufficient. Focus on building a strong foundation and solving a variety of practice questions to improve your speed and accuracy.

How do I handle questions with multiple events or conditions?

Break down multi-event questions by identifying each event's probability and using the appropriate rule (addition or multiplication). For example, if the events are independent, you can multiply their individual probabilities. Practice multi-step problems to build confidence in handling complex setups.

How important is probability compared to other topics in the quantitative aptitude section?

Probability is a moderately important topic within quantitative aptitude, typically contributing a few questions per exam. While not as heavily weighted as topics like data interpretation or arithmetic, it’s still essential to prepare since a strong grasp of probability can help you score points quickly.