01 · CBSE BOARD EXAM 2024
CBSE 2024 Board Practice Questions
CBSE 2024 · 1 MARK
Q1. Which of the following cannot be the probability of an event?
(A) 2/3 (B) -1.5 (C) 15% (D) 0.7
CBSE 2024 · 1 MARK
Q2. An event is very unlikely to happen. Its probability is closest to:
(A) 0.0001 (B) 0.001 (C) 0.01 (D) 0.1
CBSE 2024 · 2 MARKS
Q3. A card is drawn from a well-shuffled deck of 52 playing cards. Find the probability of getting: (i) a face card, (ii) a red face card.
CBSE 2024 · 3 MARKS
Q4. Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on top of the dice is: (i) 8? (ii) 13? (iii) less than or equal to 12?
CBSE 2024 · 5 MARKS
Q5. A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears: (i) a two-digit number, (ii) a perfect square number, (iii) a number divisible by 5.
02 · CBSE BOARD EXAM 2023
CBSE 2023 Board Practice Questions
CBSE 2023 · 1 MARK
Q6. If P(E) = 0.05, what is the probability of 'not E'?
CBSE 2023 · 2 MARKS
Q7. A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is: (i) red? (ii) not red?
CBSE 2023 · 3 MARKS
Q8. All the black face cards are removed from a pack of 52 playing cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting a: (i) face card, (ii) red card, (iii) black card.
CBSE 2023 · 5 MARKS
Q9. A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 2/3. Find the number of blue marbles in the jar.
03 · CBSE BOARD EXAM 2022
CBSE 2022 Board Practice Questions
CBSE 2022 · 1 MARK
Q10. A die is thrown once. Find the probability of getting a prime number.
CBSE 2022 · 2 MARKS
Q11. One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting an ace card.
CBSE 2022 · 3 MARKS
Q12. A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8, and these are equally likely outcomes. What is the probability that it will point at: (i) 8? (ii) an odd number? (iii) a number greater than 2?
04 · CBSE BOARD EXAM 2021
CBSE 2021 Board Practice Questions
CBSE 2021 · 1 MARK
Q13. If an event cannot occur, then its probability is:
(A) 1 (B) 3/4 (C) 1/2 (D) 0
CBSE 2021 · 2 MARKS
Q14. 12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.
CBSE 2021 · 3 MARKS
Q15. Two coins are tossed simultaneously. Find the probability of getting: (i) at least 1 head, (ii) at most 1 head, (iii) no head.
05 · CBSE BOARD EXAM 2020
CBSE 2020 Board Practice Questions
CBSE 2020 · 1 MARK
Q16. Find the probability that a leap year selected at random will contain 53 Sundays.
CBSE 2020 · 3 MARKS
Q17. A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be: (i) red? (ii) white? (iii) not green?
CBSE 2020 · 5 MARKS
Q18. Rahim tosses two different coins simultaneously (say, one coin of ₹1 and one of ₹2). Find the probability that he gets: (i) at least one head, (ii) at most one tail, (iii) no head.
06 · SELF-PRACTICE TIPS
Tips for Solving Board PYQs
01
Always list the full Sample Space S and count Total Outcomes n(S) first.
02
Remember that probability 0 ≤ P(E) ≤ 1. It can never be negative or greater than 1.
03
Use P(E) + P(not E) = 1 to easily calculate complementary event probabilities.