CLASS 10 · CHAPTER 14

Probability
Practice Questions

20 curated NCERT & Board Exam questions to test your understanding. Click on "Show Solution & Answer" to check step-by-step working.

20Questions

← All Class 10 Chapters

Q1MCQ1 Mark

Which of the following cannot be the probability of an event?

Q2MCQ1 Mark

If P(E) = 0.05, what is the probability of 'not E'?

Q3MCQ1 Mark

A card is drawn from a well-shuffled deck of 52 playing cards. Probability of getting a red face card is:

Q4MCQ1 Mark

A die is thrown once. Probability of getting a prime number is:

Q5Assertion-Reason1 Mark

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.

Q6Assertion-Reason1 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.

Q7Short Answer2 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.

Q8Short Answer2 Marks

A box contains 5 red marbles, 8 white marbles and 4 green marbles. Find P(white or green).

Q9Short Answer2 Marks

A piggy bank contains hundred 50p coins, fifty ₹1 coins, twenty ₹2 coins and ten ₹5 coins. Find P(50p coin).

Q10Short Answer2 Marks

Gopi buys a fish from shop. Tank has 5 male and 8 female fish. Find P(male fish).

Q11Short Answer2 Marks

A game of chance consists of spinning an arrow pointing to numbers 1 to 8. Find P(odd number).

Q12Long Answer3 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).

Q13Long Answer3 Marks

Two dice thrown simultaneously. Find P(sum is (i) 8 (ii) at most 5 (iii) doublet).

Q14Long Answer3 Marks

Five cards: ten, jack, queen, king, ace of diamonds. One card drawn. (i) P(queen) (ii) If queen drawn & put aside, P(ace).

Q15Long Answer3 Marks

12 defective pens accidentally mixed with 132 good ones. One pen drawn. Find P(good pen).

Q16Case Study4 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).

Q17Case Study4 Marks

Case Study Scenario: Harpreet tosses two different coins simultaneously (say ₹1 and ₹2). Question: Find probability that she gets at least one head.

Q18PYQ5 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).

Q19PYQ5 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).

Q20PYQ5 Marks

Probability Practice Questions