Probability

CBSE Class 10 · Mathematics · 53 past questions

These are the board's own papers. 126 more board questions reprinted in the books we use in class are for signed-in students: sign in.

Q1 2026

Two dice are rolled together. The probability that the sum of the numbers obtained is divisible by 6, is…
Q2 2026

A group of friends wanted to play cards with two identical packs together. While shuffling the cards, three… (with a figure)
Q3 2026

Which of the following can not be the probability of an event ?
Q4 2026

A card is drawn at random from a well shuffled deck of 52 playing cards. The probability that it is either a…
Q5 2026

Meena calculates that the probability of her winning the first prize in a lottery is 0.08. If total 800…
Q6 2026

A bag contains 25 balls. Some of them are yellow and others are green. One ball is drawn at random. If…
Q7 2026

Two different dice are rolled together. The probability that both the obtained numbers are less than 4, is
Q8 2026

(Assertion and Reason based Questions)…
Q9 2026

A bag contains 30 balls out of which ‘m’ number of balls are blue in colour.
Q10 2026 (Basic)

Probability of getting an irrational number at random from the numbers…
Q11 2026 (Basic)

A card is drawn from a well shuffled deck of 52 cards. The probability of getting an ace or a ten is…
Q12 2026 (Basic)

Directions : In questions number 19 and 20, a statement of Assertion (A) is followed by a statement of Reason…
Q13 2026 (Basic)

Two dice are rolled together. Find the probability that…
Q14 Sample paper 2026-27

T-shirts marked with numbers 4 to 99 are placed in a box. Gunika is fond of numbers. She randomly takes out a…
Q15 Sample paper 2026-27

Two dice are rolled simultaneously. The probability of getting number less than 4 on each die is…
Q16 Sample paper 2026-27

2 cards of diamonds and 4 cards of spades are missing from a pack of 52 cards. A card is drawn at random from…
Q17 Sample paper 2026-27

Two dice are thrown simultaneously. Find the probability that the product of the numbers appearing on them is…
Q18 2025

The probability of drawing an even prime number out of numbers from 1 to 30 is…
Q19 2025

In a cricket match, a batsman hits the boundary 7 times out of the 42 balls he plays. The probability of his…
Q20 2025

A die is thrown once. The probability of getting a number which is *not* a factor of 36, is…
Q21 2025

The probability of guessing the correct answer of a certain test question is $\frac{x}{12}$. If the…
Q22 2025

Three unbiased coins are tossed simultaneously. Find the probability of getting…
Q23 2025

A card is selected at random from a deck of 52 playing cards. The probability of it being a red face card is…
Q24 2025

Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two…
Q25 2025 (Basic)

In a random experiment of throwing a die, which of the following is a sure event ?
Q26 2025 (Basic)

A lot consists of 200 pens of which 180 are good and the rest are defective. A customer will buy a pen if it…
Q27 2024

Two dice are thrown together. The probability that they show different numbers is…
Q28 2024

The probability of guessing the correct answer to a certain test question is $\frac{x}{6}$. If the…
Q29 2024

If a digit is chosen at random from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9; then the probability that this…
Q30 2024

One card is drawn at random from a well shuffled deck of 52 cards. Find the probability that the card drawn
Q31 2024

Two dice are rolled together. The probability of getting the sum of the two numbers to be more than 10, is
Q32 2024

A box contains cards numbered 6 to 55. A card is drawn at random from the box. The probability that the drawn…
Q33 2024

If the probability of a player winning a game is 0.79, then the probability of his losing the same game is…
Q34 2024

From the data 1, 4, 7, 9, 16, 21, 25, if all the even numbers are removed, then the probability of getting at…
Q35 2024

Two dice are rolled together. The probability of getting sum of numbers on the two dice as 2, 3 or 5, is…
Q36 2024

In a pack of 52 playing cards one card is lost. From the remaining cards, a card is drawn at random. Find the…
Q37 2024 (Basic)

If probability of winning a game is $p$, then probability of losing the game is…
Q38 2024 (Basic)

A card is drawn from a well shuffled deck of 52 playing cards. The probability that drawn card is a red…
Q39 2024 (Basic)

Two dice are rolled together. The probability of getting a doublet is…
Q40 2024 (Basic)

A bag contains 4 red, 5 white and some yellow balls. If probability of drawing a red ball at random is…
Q41 2023

A bag contains 100 cards numbered 1 to 100. A card is drawn at random from the bag. What is the probability…
Q42 2023

If three coins are tossed simultaneously, what is the probability of getting at most one tail ?
Q43 2023

Computer-based learning (CBL) refers to any teaching methodology that makes use of computers for information… (with a figure)
Q44 2023

Two dice are thrown together. The probability of getting the difference of numbers on their upper faces…
Q45 2023

A card is drawn at random from a well-shuffled pack of 52 cards. The probability that the card drawn is not…
Q46 2023

DIRECTIONS : In the question number 19 and 20, a statement of Assertion (A) is followed by a statement of…
Q47 2023

If a fair coin is tossed twice, find the probability of getting 'atmost one head'.
Q48 2023

Probability of happening of an event is denoted by p and probability of non-happening of the event is denoted…
Q49 2023

A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets…
Q50 2023

In a group of 20 people, 5 can’t swim. If one person is selected at random, then the probability that he/she…
Q51 2023 (Basic)

A card is drawn at random from a well-shuffled deck of 52 cards. The probability of getting a red card is…
Q52 2023 (Basic)

A die is thrown once. Find the probability of getting a number less than 7.
Q53 2023 (Basic)

Blood group describes the type of blood a person has. It is a classification of blood based on the presence… (with a figure)