PYQs
Practise questions grouped by chapter and source year.
Practice questions are organised using the years and labels in our source collection. Work through the solutions with your teacher; these are not a complete official examination paper.
Practice question 1
Source year: 20253 marksTwo dice thrown. P(sum=8) and P(sum>8). [CBSE 2025]
Practice question 2
Source year: 20243 marksBag: 5 red, 8 white, 4 green. P(white) and P(not green). [CBSE 2024]
Practice question 3
Source year: 20253 marksTwo dice are thrown together. Find probability that sum is: (i) 8, (ii) greater than 8. [CBSE 2025]
Practice question 4
Source year: 20243 marksA bag contains 5 red, 8 white and 4 green balls. One ball is drawn. Find probability it is: (i) white, (ii) not green. [CBSE 2024]
Practice question 5
Source year: 20233 marksA card is drawn from well-shuffled deck of 52 cards. Find probability of: (i) a king, (ii) a red card, (iii) a face card. [CBSE 2023]
Practice question 6
Source year: 20222 marksFind probability of getting 53 Sundays in: (i) a leap year, (ii) a non-leap year. [CBSE 2022]
Formulae
Revisit important relationships and quick revision formulae.
Probability
P(E) = Favorable/Total
Basic Probability
P(E) = Number of favorable outcomes / Total number of outcomes\nP(E) = n(E) / n(S)
Probability Properties
0 ≤ P(E) ≤ 1\nP(sure event) = 1\nP(impossible event) = 0\nP(not E) = 1 - P(E)
Playing Cards
Total cards = 52\nSuits: Hearts(Red), Diamonds(Red), Clubs(Black), Spades(Black)\nEach suit: 13 cards (A,2-10,J,Q,K)\nFace cards: J,Q,K (12 total)\nNumber cards: A,2-10 (40 total)
Derivations
Work through the reasoning behind key concepts.
Complementary Events
For any event E: P(E) + P(not E) = 1. This is because either E happens or it doesn't - these are the only two possibilities and they're mutually exclusive. Therefore: P(not E) = 1 - P(E).
Complementary Events
P(E) + P(not E) = 1\nP(not E) = 1 - P(E)
Ready for a more structured preparation plan?
Explore school-integrated JEE / NEET preparation and residential learning at Meritroot Academy, Dehradun.
Talk to academy admissions ↗