How many practice questions are available for Probability?

SparkEd Math offers 60+ practice questions for Probability across 3 difficulty levels (Easy, Medium, Hard) plus a timed test mode. Each question comes with visual step-by-step solutions and AI coaching hints.

Is Probability content free on SparkEd Math?

Yes! All Probability content on SparkEd Math is 100% free, including practice questions, visual solutions, lessons, and AI coaching. No credit card required.

How does SparkEd Math teach Probability differently from textbooks?

SparkEd Math uses visual step-by-step solutions for every Probability problem, making complex concepts easy to understand. The platform includes 3 difficulty levels for progressive learning, a Super Power Help AI coach for instant doubt-clearing, and interactive practice rather than passive reading.

Is SparkEd's Probability content aligned with the ICSE syllabus?

Yes, all Probability questions and lessons on SparkEd Math are fully aligned with the Indian Certificate of Secondary Education (ICSE) syllabus for Class 8. The content follows the official curriculum structure and exam pattern.

Probability — Class 8 ICSE (2025-26)

About Probability — Class 8 ICSE

Understand basic probability concepts with experiments on coins, dice, and cards. This topic is part of the ICSE Class 8 mathematics syllabus (chapter: Chapter 14). On this page you can practice 58 questions across three difficulty levels — 19 easy, 19 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 34-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Probability

Introduction to Probability: Understanding Chance
Calculating Probability: The Fundamental Rule
Probability with Multiple Events: Coins and Dice
Probability with Playing Cards: A Deck of Possibilities
Summary and Practice: Mastering Probability

Interactive lesson · about 15 minutes · checkpoint question after every unit

Probability — solved examples for Class 8 ICSE

Example 1easy

Which of the following statements about a random experiment is TRUE?

A)A) The outcome of a random experiment can always be predicted before it is performed.
B)B) In a random experiment, all possible outcomes are known, but the exact outcome cannot be predicted.
C)C) A random experiment always has only one possible outcome.
D)D) The probability of any outcome in a random experiment is always 1.

Step-by-step solution

A random experiment is an experiment where all possible outcomes are known in advance.
However, the exact outcome of any single trial cannot be predicted with certainty. For example, when flipping a coin, we know the outcomes are Head or Tail, but we don't know which one will occur.
Therefore, statement B correctly describes a random experiment.

Answer: B) In a random experiment, all possible outcomes are known, but the exact outcome cannot be predicted.

Example 2medium

A fair six-sided die is rolled once. What is the probability of getting an even number?

A)1/6
B)1/3
C)1/2
D)2/3

Step-by-step solution

The total number of possible outcomes when rolling a fair six-sided die is 6. These outcomes are {1, 2, 3, 4, 5, 6}.
The favorable outcomes (even numbers) are {2, 4, 6}. So, the number of favorable outcomes is 3.
The probability of an event is calculated as (Number of Favorable Outcomes) / (Total Number of Possible Outcomes).
P(even number) = 3/6 = 1/2.

Answer: 1/2

Example 3hard

Three fair coins are tossed simultaneously. What is the probability of getting at least two heads OR exactly two tails?

A)A. 1/2
B)B. 3/4
C)C. 7/8
D)D. 5/8

Step-by-step solution

The sample space for tossing three coins is {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}. The total number of outcomes is 2³ = 8.
Outcomes with 'at least two heads' are {HHH, HHT, HTH, THH}. There are 4 such outcomes.
Outcomes with 'exactly two tails' are {HTT, THT, TTH}. There are 3 such outcomes.
These two sets of outcomes are mutually exclusive (they have no common elements). So, the number of favorable outcomes for 'at least two heads OR exactly two tails' is 4 + 3 = 7. The probability is 7/8.
$P(E) = (Number of favorable outcomes) / (Total number of outcomes) = 7/8$

Answer: C. 7/8

Practice questions on Probability

Q1.easy
Ravi is listing the possible outcomes when flipping two distinct coins simultaneously. He writes: {HH, HT, TT}. What mistake did Ravi make?
1. A)A) He listed too many outcomes.
2. B)B) He forgot to include the outcome 'TH'.
3. C)C) The coins should not be considered distinct.
4. D)D) The order of outcomes does not matter, so there is no mistake.
Show answer
Answer: B) He forgot to include the outcome 'TH'.
Hint: When flipping two distinct coins, the order of results for each coin matters. Consider all unique combinations.
Q2.easy
A fair six-sided die is rolled once. What is the probability of getting an even number?
1. A)A) 1/6
2. B)B) 1/3
3. C)C) 1/2
4. D)D) 2/3
Show answer
Answer: C) 1/2
Hint: First, identify all possible outcomes when rolling a die. Then, determine which of these outcomes are even numbers.
Q3.easy
What is the probability of an event that is impossible to occur?
1. A)A) 1
2. B)B) 0
3. C)C) 0.5
4. D)D) Cannot be determined
Show answer
Answer: B) 0
Hint: Consider the definition of an impossible event. If an event can never happen, how many favorable outcomes are there?
Q4.medium
A bag contains 5 red balls, 3 blue balls, and 2 green balls. If a ball is drawn at random, what is the probability that it is a blue ball?
1. A)3/10
2. B)1/5
3. C)1/2
4. D)2/5
Show answer
Answer: 3/10
Hint: Calculate the total number of balls in the bag first. Then, count the number of blue balls.
Q5.medium
Which of the following values cannot be the probability of an event?
1. A)0.75
2. B)1
3. C)-0.5
4. D)1/3
Show answer
Answer: -0.5
Hint: Recall the fundamental range within which the probability of any event must lie.
Q6.medium
Ravi tossed two fair coins. He calculated the probability of getting at most one head as 1/2, stating that the outcomes are 'one head' and 'two heads' and total outcomes are 4. What is the mistake in Ravi's reasoning?
1. A)He did not list all possible outcomes correctly.
2. B)He incorrectly identified the favorable outcomes for 'at most one head'.
3. C)He used the wrong formula for probability.
4. D)He should have tossed only one coin.
Show answer
Answer: He incorrectly identified the favorable outcomes for 'at most one head'.
Hint: First, correctly list the sample space for tossing two coins. Then, identify all outcomes that satisfy 'at most one head'.
Q7.hard
Two fair dice are rolled simultaneously. What is the probability that the product of the numbers shown on the dice is a prime number?
1. A)A. 1/12
2. B)B. 1/6
3. C)C. 1/9
4. D)D. 5/36
Show answer
Answer: B. 1/6
Hint: Remember that a prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. List all possible products and identify the prime ones.
Q8.hard
From a well-shuffled deck of 52 playing cards, one card is drawn at random. What is the probability that it is a red face card OR a black Ace?
1. A)A. 6/52
2. B)B. 1/13
3. C)C. 2/13
4. D)D. 3/26
Show answer
Answer: C. 2/13
Hint: Count the number of red face cards and black Aces separately. Check if there are any overlaps between these two categories.
Q9.hard
A bag contains 8 red balls and some blue balls. If the probability of drawing a blue ball is twice that of drawing a red ball, how many blue balls are in the bag?
1. A)A. 8
2. B)B. 12
3. C)C. 16
4. D)D. 24
Show answer
Answer: C. 16
Hint: Set up an equation using the definition of probability and the given relationship between the probabilities of drawing a blue ball and a red ball.

These are 9 of the 58 questions available for Probability. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.