1 Mark
CBSE BOARD PYQS · CHAPTER 14
Probability
CBSE Most Repeated PYQs
Solve official CBSE Previous Year Board Questions (2015-2024) for Probability. Click on options to test yourself, or click "Show Solution & Answer" for complete step-by-step working.
1 Mark
If P(E) = 0.05, what is the probability of 'not E'?
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A card is drawn from a well-shuffled deck of 52 playing cards. Probability of getting a red face card is:
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A die is thrown once. Probability of getting a prime number is:
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Assertion (A): Sum of probabilities of all elementary events of an experiment is 1. Reason (R): For any event E, P(E) + P(not E) = 1.
1 Mark
Assertion (A): Probability of a sure event is 1 and impossible event is 0. Reason (R): The probability of an event E satisfies 0 ≤ P(E) ≤ 1.
2 Marks
A bag contains 3 red balls and 5 black balls. A ball is drawn at random. Find probability ball is (i) red (ii) not red.
2 Marks
A box contains 5 red marbles, 8 white marbles and 4 green marbles. Find P(white or green).
2 Marks
A piggy bank contains hundred 50p coins, fifty ₹1 coins, twenty ₹2 coins and ten ₹5 coins. Find P(50p coin).
2 Marks
Gopi buys a fish from shop. Tank has 5 male and 8 female fish. Find P(male fish).
2 Marks
A game of chance consists of spinning an arrow pointing to numbers 1 to 8. Find P(odd number).
3 Marks
A box contains 90 discs numbered 1 to 90. One disc is drawn. Find P(disc bears (i) 2-digit number (ii) perfect square (iii) divisible by 5).
3 Marks
Two dice thrown simultaneously. Find P(sum is (i) 8 (ii) at most 5 (iii) doublet).
3 Marks
Five cards: ten, jack, queen, king, ace of diamonds. One card drawn. (i) P(queen) (ii) If queen drawn & put aside, P(ace).
3 Marks
12 defective pens accidentally mixed with 132 good ones. One pen drawn. Find P(good pen).
4 Marks
Case Study Scenario: A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy accepts good shirts, Sujatha accepts non-major defect shirts. Question: Find P(Jimmy accepts) and P(Sujatha accepts).
4 Marks
Case Study Scenario: Harpreet tosses two different coins simultaneously (say ₹1 and ₹2). Question: Find probability that she gets at least one head.
5 Marks
From a deck of 52 cards, all red face cards are removed. Remaining cards shuffled. Find P(drawn card is (i) red card (ii) face card (iii) card of clubs).
5 Marks
A bag contains 5 red, 4 green and 7 white balls. A ball is drawn. Find P(drawn ball is (i) white (ii) neither red nor white).
5 Marks