Wednesday, 13 May 2026

Bank Exam Practice Material Series Page 15 | Probability Practice Set with Answers & Shortcut Tricks

 

 Bank Exam Practice Material Series – Page 15

Probability Practice Set with Answers & Shortcut Tricks

Shaktimatha Learning – Bank Exam Practice Hub
Learn Probability shortcut tricks, dice and coin concepts, card probability methods, and fast aptitude solving techniques for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

 Importance of Probability in Bank Exams

Probability is one of the most important mathematical aptitude topics in:

  • Bank Exams
  • SSC
  • Railway Exams
  • Insurance Exams

This section tests:

  • Logical reasoning
  • Analytical thinking
  • Mathematical concepts
  • Fast calculations

🎯 Important Probability Concepts

Questions are mainly based on:

  • Basic probability
  • Dice problems
  • Coin toss problems
  • Card probability
  • Event outcomes
  • Favorable cases

 Probability Formula

0

 Complement Formula

1

 Shortcut Tricks

Concept Shortcut
Probability rangeBetween 0 and 1
Certain eventProbability = 1
Impossible eventProbability = 0
Dice outcomesTotal = 6
Coin tossTotal = 2

 Practice Questions

Q1. Find probability of getting Head in one coin toss.

Solution:

Favorable outcomes = 1

Total outcomes = 2

2

✅ Answer = 1/2


Q2. Find probability of getting number 4 on a dice.

Solution:

Favorable outcomes = 1

Total outcomes = 6

✅ Answer = 1/6


Q3. Find probability of getting even number on a dice.

Solution:

Even numbers = 2, 4, 6

Favorable outcomes = 3

Total outcomes = 6

✅ Answer = 1/2


Q4. A card is selected from 52 cards. Find probability of getting Ace.

Solution:

Total Aces = 4

3

✅ Answer = 1/13


Q5. Find probability of getting Tail in one toss.

Solution:

1 favorable outcome

2 total outcomes

✅ Answer = 1/2


Q6. Find probability of getting odd number on dice.

Solution:

Odd numbers = 1, 3, 5

Favorable outcomes = 3

Total outcomes = 6

✅ Answer = 1/2


Q7. Find probability of selecting King from deck of cards.

Solution:

Kings = 4

Total cards = 52

✅ Answer = 1/13


Q8. Find probability of impossible event.

Solution:

Impossible event probability = 0

✅ Answer = 0


Q9. Find probability of certain event.

Solution:

Certain event probability = 1

✅ Answer = 1


Q10. A bag contains 5 red and 5 blue balls. Find probability of selecting red ball.

Solution:

Total balls = 10

Red balls = 5

4

✅ Answer = 1/2


 Observation Tricks

  • Count favorable outcomes carefully
  • Remember total outcomes
  • Simplify fractions quickly
  • Use complement probability when needed

 Important Probability Formulas

Topic Formula
ProbabilityFavorable/Total
Complement1 − P(A)
Certain Event1
Impossible Event0
Dice Outcomes6

🎯 Daily Practice Strategy

  • Practice dice problems
  • Practice coin toss questions
  • Revise card probability
  • Practice favorable outcome calculations
  • Practice fraction simplification

This improves:

  • Logical reasoning
  • Analytical thinking
  • Competitive exam confidence

“Strong Probability Concepts Improve Logical Thinking and Exam Accuracy.”

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