Class 12 Math: Probability Important Exam Questions

NexPro Tools Mathematics TeamJune 5, 20266 min read

Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 12 Probability to help you test your mastery.

Exam-Pattern Questions and Answers

Question 1 (EASY)

A bag contains 5 pink, 8 blue and 7 yellow balls. One ball is drawn at random from the bag. What is the probability of getting neither a blue nor a pink ball ?
  • Option 1: 1/4
  • Option 2: 2/5
  • Option 3: 7/20
  • Option 4: 13/20

Solution Explanation & Steps: (c) 7/20 Number of balls which is neither a blue nor a Pink = 7 āˆ“ P(Getting a ball which is neither blue or pink) = 7/20

Question 2 (MEDIUM)

Two coins are tossed simultaneously. What is the probability of getting (i) At least one head? (ii) At most one tail? (iii) A head and a tail?

This is a descriptive problem. Work out all steps on paper before checking the solution.

Solution Explanation & Steps: Total number of outcomes = 4 (i) Number of outcomes with at least one head = 3 āˆ“ Required probability = 3/4 (ii) Number of outcomes with at most one tail = 3 āˆ“ Required probability = 3/4 (iii)Number of outcomes with a head and a tail = 2 āˆ“ Required probability = 2/4 = 1/2

Question 3 (HARD)

A tiling or tessellation of a flat surface is the covering of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. Historically, tessellations were used in ancient Rome and in Islamic art. You may find tessellation patterns on floors, walls, paintings etc. Shown below is a tiled floor in the archaeological Museum of Seville, made using squares, triangles and hexagons. = 10 sq. units

This is a descriptive problem. Work out all steps on paper before checking the solution.

Solution Explanation & Steps: Review standard NCERT class formulas for details.

Grading Step-Marking Guidelines

Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.

šŸ“š Class 12 Math Resource Hub for Probability: ā€¢ šŸ§® Interactive Solver: Solve Probability Problems - Verify steps in real-time. ā€¢ šŸ“ Timed Practice Quiz: Take Probability Online Quiz - Test your speed and concepts. ā€¢ šŸ“„ Printable Worksheet: Download Probability PDF Worksheet - Interactive problems with answers. ā€¢ šŸ“ Formula Sheet: View Probability Key Equations - Complete revision references. ā€¢ šŸ”„ Previous Topic Guide: Linear Programming Study Notes ā€¢ šŸŽ“ Syllabus Overview: Class 12 Mathematics Portal - Access all chapter guides.
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