How many practice questions are available for Probability (Experimental)?

SparkEd Math offers 51+ practice questions for Probability (Experimental) 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 (Experimental) content free on SparkEd Math?

Yes! All Probability (Experimental) 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 (Experimental) differently from textbooks?

SparkEd Math uses visual step-by-step solutions for every Probability (Experimental) 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 (Experimental) content aligned with the IB syllabus?

Yes, all Probability (Experimental) questions and lessons on SparkEd Math are fully aligned with the International Baccalaureate (MYP) (IB) syllabus for Class 7. The content follows the official curriculum structure and exam pattern.

Probability (Experimental) — Class 7 IB (2025-26)

About Probability (Experimental) — Class 7 IB

Conduct experiments to determine experimental probability and compare with theoretical values. This topic is part of the IB Class 7 mathematics syllabus (chapter: Unit 9). On this page you can practice 51 questions across three difficulty levels — 20 easy, 20 medium, and 11 hard — each with a visual step-by-step solution, plus a timed 26-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Probability (Experimental)

Introduction to Experimental Probability
Conducting Experiments and Recording Data
Calculating Experimental Probability and Relative Frequency
Comparing Experimental and Theoretical Probability
Two-Step Experiments and Tree Diagrams (Experimental)

Interactive lesson · about 75 minutes · checkpoint question after every unit

Probability (Experimental) — solved examples for Class 7 IB

Example 1easy

A spinner has 8 equally sized sectors labelled 1, 2, 3, 4, 5, 6, 7, 8. What is the theoretical probability of the spinner landing on an odd number?

A)1/8
B)1/4
C)1/2
D)3/8

Step-by-step solution

Identify the sample space: The numbers are 1, 2, 3, 4, 5, 6, 7, 8. The total number of outcomes is 8.
Identify the favourable outcomes: The odd numbers are 1, 3, 5, 7. There are 4 favourable outcomes.
Calculate the theoretical probability: P(odd) = (Number of odd outcomes) / (Total number of outcomes).
$P(odd) = 4 / 8$
Simplify the fraction.
$P(odd) = 1/2$

Answer: 1/2

Example 2medium

A standard six-sided die is rolled once. Which of the following correctly represents the sample space of possible outcomes?

A){1, 2, 3}
B){1, 2, 3, 4, 5, 6}
C){even, odd}
D){roll a 6}

Step-by-step solution

Step 1: Understand the experiment. The experiment is rolling a standard six-sided die.
Step 2: List all unique outcomes. A standard six-sided die has faces numbered 1, 2, 3, 4, 5, and 6.
Step 3: Form the sample space. The sample space is the set of all these possible outcomes.
$Sample Space = {1, 2, 3, 4, 5, 6}$

Answer: {1, 2, 3, 4, 5, 6}

Example 3hard

A game in Geneva involves drawing two distinct numbered balls, without replacement, from a bag containing balls numbered 1, 2, 3, 4, 5. The two numbers drawn are then added together to form a score. How many unique possible scores are there?

Step-by-step solution

List all possible pairs of distinct numbers drawn from {1, 2, 3, 4, 5} without replacement:
(1,2), (1,3), (1,4), (1,5)
$Sums: 3, 4, 5, 6$
(2,3), (2,4), (2,5)
$Sums: 5, 6, 7$
(3,4), (3,5)
$Sums: 7, 8$
(4,5)
$Sum: 9$
Collect all the sums: {3, 4, 5, 6, 5, 6, 7, 7, 8, 9}. Identify the unique scores.
$Unique Scores: {3, 4, 5, 6, 7, 8, 9}$
Count the number of unique scores.

Answer: 7

Practice questions on Probability (Experimental)

Q1.easy
A student rolls a standard six-sided die 60 times. The number '4' appears 12 times. What is the experimental probability of rolling a '4'?
1. A)1/6
2. B)1/5
3. C)1/4
4. D)1/3
Show answer
Answer: 1/5
Hint: Experimental probability is calculated from the results of an experiment. How many times did the event occur compared to the total trials?
Q2.easy
Which statement best describes the relationship between theoretical probability and experimental probability?
1. A)Theoretical probability is always equal to experimental probability.
2. B)Experimental probability becomes closer to theoretical probability as the number of trials increases.
3. C)Theoretical probability is only used for real-world experiments, while experimental probability is for ideal situations.
4. D)Experimental probability can be calculated without conducting an experiment.
Show answer
Answer: Experimental probability becomes closer to theoretical probability as the number of trials increases.
Hint: Think about what happens when you repeat an experiment many, many times. Does the observed frequency stabilize?
Q3.easy
Sarah tossed a coin 20 times. She recorded Heads 8 times and Tails 12 times. She then calculated the experimental probability of getting Heads as 12/20. What mistake did Sarah make?
1. A)She used the total number of trials incorrectly.
2. B)She confused the number of Heads with the number of Tails.
3. C)She should have simplified the fraction to its lowest terms.
4. D)She only considered one outcome (Heads) instead of both (Heads and Tails).
Show answer
Answer: She confused the number of Heads with the number of Tails.
Hint: Carefully read what she was trying to calculate (probability of Heads) and what numbers she used.
Q4.medium
A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If a marble is chosen randomly from the bag, what is the theoretical probability of choosing a blue marble?
1. A)3/5
2. B)3/10
3. C)1/3
4. D)2/5
Show answer
Answer: 3/10
Hint: To find theoretical probability, determine the number of favourable outcomes and divide by the total number of possible outcomes.
Q5.medium
A weather station in London recorded the weather for 40 days. It rained on 15 days, was cloudy on 10 days, and sunny on 15 days. Based on this data, what is the experimental probability that it will rain on any given day?
1. A)1/4
2. B)3/8
3. C)3/5
4. D)1/2
Show answer
Answer: 3/8
Hint: Experimental probability is found by dividing the number of times an event occurred by the total number of trials in the experiment.
Q6.medium
A biologist observed the species of birds visiting a feeder over a week. Out of 100 visits, 40 were sparrows, 25 were robins, and 35 were finches. What is the relative frequency of a robin visiting the feeder?
1. A)0.40
2. B)0.35
3. C)0.25
4. D)0.60
Show answer
Answer: 0.25
Hint: Relative frequency is another term for experimental probability. Calculate the proportion of robin visits out of total visits.
Q7.hard
A fair six-sided die is rolled twice. What is the theoretical probability that the product of the two rolls is an even number?
1. A)3/4
2. B)1/2
3. C)1/4
4. D)2/3
Show answer
Answer: 3/4
Hint: Consider when the product of two numbers is odd. It's often easier to calculate the probability of the complementary event.
Q8.hard
A meteorologist in London recorded the weather for 120 days. It rained on 36 of those days, was cloudy but dry on 54 days, and sunny on the remaining days. What is the experimental probability that it will be sunny on a given day in London, based on this data?
1. A)3/10
2. B)9/20
3. C)7/20
4. D)1/4
Show answer
Answer: 1/4
Hint: First, calculate the number of sunny days. Then, use the formula for experimental probability: (Number of favorable outcomes) / (Total number of trials).
Q9.hard
A fair coin is flipped 10 times, and it lands on heads 7 times. Which statement is the most accurate conclusion about experimental and theoretical probability?
1. A)As the number of flips increases significantly, the experimental probability of heads is expected to get closer to the theoretical probability of 1/2.
2. B)The coin is likely biased because the experimental probability (7/10) is much higher than the theoretical probability (1/2).
3. C)The theoretical probability of landing heads will change to 7/10 for the next 10 flips.
4. D)The experimental probability will always be exactly 1/2 if the coin is fair, regardless of the number of flips.
Show answer
Answer: As the number of flips increases significantly, the experimental probability of heads is expected to get closer to the theoretical probability of 1/2.
Hint: Think about the Law of Large Numbers. What happens to experimental probability as the number of trials becomes very large?

These are 9 of the 51 questions available for Probability (Experimental). Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.