Probability: Class 10 Previous Year Questions

Probability questions asked in CBSE board exams

Repeated questions first. Open the free app to see each question as it appeared in the paper, with its marking scheme.

1. A card is drawn from a well shuffled deck of 52 playing cards. The probability that drawn card is a red queen, is : (a) (b) (c) (d) 13 13 52 26
   Board 20241 markMCQRepeated: 2023,2024
2. If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then prove that the other two sides are divided in the same ratio.
   Board 20235 markslong answerRepeated: 2023,2024
3. A card is drawn at random from a well-shuffled deck of 52 cards. The probability of getting a red card is : (a) (b) 26 13 1-4 (c) (d)
   Board 20231 markMCQRepeated: 2023,2024
4. Prove that if a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.
   Sample paper 2026-275 markslong answerRepeated: 2023,2024
5. A lot consists of 200 pens of which 180 are good and the rest are defective. A customer will buy a pen if it is not defective. The shopkeeper draws a pen at random and gives it to the customer. What is the probability that the customer will not buy it ? Anothe…
   Board 20253 marksshort answer
6. A game of chance consists of spinning a wheel which comes to rest at one of the numbers from 1 to 10 (as shown in the given figure) with equal probabilities. What is the probability that the wheel stops at (i) a prime number greater than 2 ? (ii) an odd number…
   Board 20253 marksshort answer
7. Assertion (A) : A line drawn parallel to any one side of a triangle intersects the other two sides in the same ratio. 1 Reason (R) : Parallel lines cannot be drawn to any side of a triangle.
   Board 20241 markAssertion-Reason
8. Q yp q 26. Two dice are tossed simultaneously. Find the probability of getting 3 (a) an even number on both the dice. (b) the sum of two numbers more than 9.
   Board 20243 marksshort answer
9. 15 defective pens are accidentally mixed with 145 good ones. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.
   Board 20242 marksshort answer
10. Two dice are rolled together. The probability of getting a doublet is : (b) (a) (c) (d) 36 36 Directions : In.
    Board 20241 markAssertion-Reason
11. Page 19 36. Saving money is a good habit and it should be inculcated in children right from the beginning. Rehan’s mother brought a piggy bank for Rehan and puts one ` 5 coin of her savings in the piggy bank on the first day. She increases his savings by one `…
    Board 20244 marksshort answer
12. If probability of winning a game is p, then probability of losing the game is : 1+p (b) (c) p-1 (a) (d) 1-p
    Board 20241 markMCQ
13. A bag contains 4 red, 5 white and some yellow balls. If probability of yellow ball at random.
    Board 20242 marksshort answer
14. A die is thrown once. Find the probability of getting a number less than 7. 5-6 (a) (b) 1- (c) (d)
    Board 20231 markMCQ
15. A die is rolled once. The probability that a composite number comes up, is : (a) 2 1 (b) 3 2 (c) 3 1 (d) 0
    Board 20231 markMCQ
16. Assertion (A) : The probability of getting a prime number, when a die is thrown once, is 3 2 . Reason (R): On the faces of a die, prime numbers are 2, 3, 5.
    Board 20231 markAssertion-Reason
17. Which of the following numbers cannot be the probability of an event ? (a) 0·5 (b) 5% (c) 5· 0 1 (d) 14 5·
    Board 20231 markMCQ
18. Blood group describes the type of blood a person has. It is a classification of blood based on the presence or absence of inherited antigenic substances on the surface of red blood cells. Blood types predict whether a serious reaction will occur in a blood tra…
    Board 20234 marksshort answer
19. JJJJ Page 14 25. AÀN>r àH$ma go \|$Q>r JB© 52 Vme Ho$ nÎmm| H$s EH$ JÈ>r go, g^r BªQ> Ho$ nÎmm| H$mo hQ>m {X`m OmVm h¡ & ~mX _| eof go EH$ nÎmm `mÑÀN>`m {ZH$mbm OmVm h¡ & {ZH$mbm J`m nÎmm EH$ ~mXemh hmoZo H$s àm{`H$Vm kmV H$s{OE & JJJJ Page 15 22. (a) Find the…
    Board 20232 marksshort answer
20. REASON (R): The probability of an impossible event is zero (0) 1 ASSERTION (A): If a line divides any two sides of a triangle in the same ratio
    Sample paper 2026-271 markAssertion-Reason

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