experimental probability sheet

One to one maths interventions built for KS4 success

Weekly online one to one GCSE maths revision lessons now available

In order to access this I need to be confident with:

This topic is relevant for:

Experimental Probability

Here we will learn about experimental probability, including using the relative frequency and finding the probability distribution.

There are also probability distribution worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

What is experimental probability?

Experimental probability i s the probability of an event happening based on an experiment or observation.

To calculate the experimental probability of an event, we calculate the relative frequency of the event.

We can also express this as R=\frac{f}{n} where R is the relative frequency, f is the frequency of the event occurring, and n is the number of trials of the experiment.

If we find the relative frequency for all possible events from the experiment we can write the probability distribution for that experiment.

The relative frequency, experimental probability and empirical probability are the same thing and are calculated using the data from random experiments. They also have a key use in real-life problem solving.

For example, Jo made a four-sided spinner out of cardboard and a pencil.

She spun the spinner 50 times. The table shows the number of times the spinner landed on each of the numbers 1 to 4. The final column shows the relative frequency.

The relative frequencies of all possible events will add up to 1.

This is because the events are mutually exclusive.

Step-by-step guide: Mutually exclusive events

Experimental probability vs theoretical probability

You can see that the relative frequencies are not equal to the theoretical probabilities we would expect if the spinner was fair.

If the spinner is fair, the more times an experiment is done the closer the relative frequencies should be to the theoretical probabilities.

In this case the theoretical probability of each section of the spinner would be 0.25, or \frac{1}{4}.

Step-by-step guide: Theoretical probability

How to find an experimental probability distribution

In order to calculate an experimental probability distribution:

Draw a table showing the frequency of each outcome in the experiment.

Determine the total number of trials.

Write the experimental probability (relative frequency) of the required outcome(s).

Explain how to find an experimental probability distribution

Experimental probability worksheet

Get your free experimental probability worksheet of 20+ questions and answers. Includes reasoning and applied questions.

Related lessons on   probability distribution

Experimental probability  is part of our series of lessons to support revision on  probability distribution . You may find it helpful to start with the main probability distribution lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. Other lessons in this series include:

• Probability distribution
• Relative frequency
• Expected frequency

Experimental probability examples

Example 1: finding an experimental probability distribution.

A 3 sided spinner numbered 1,2, and 3 is spun and the results recorded.

Find the probability distribution for the 3 sided spinner from these experimental results.

A table of results has already been provided. We can add an extra column for the relative frequencies.

2 Determine the total number of trials

3 Write the experimental probability (relative frequency) of the required outcome(s).

Divide each frequency by 110 to find the relative frequencies.

Example 2: finding an experimental probability distribution

A normal 6 sided die is rolled 50 times. A tally chart was used to record the results.

Determine the probability distribution for the 6 sided die. Give your answers as decimals.

Use the tally chart to find the frequencies and add a row for the relative frequencies.

The question stated that the experiment had 50 trials. We can also check that the frequencies add to 50.

Divide each frequency by 50 to find the relative frequencies.

Example 3: using an experimental probability distribution

A student made a biased die and wanted to find its probability distribution for use in a game. They rolled the die 100 times and recorded the results.

By calculating the probability distribution for the die, determine the probability of the die landing on a 3 or a 4.

The die was rolled 100 times.

We can find the probability of rolling a 3 or a 4 by adding the relative frequencies for those numbers.

P(3 or 4) = 0.22 + 0.25 = 0.47

Example 4: calculating the relative frequency without a known frequency of outcomes

A research study asked 1200 people how they commute to work. 640 travelled by car, 174 used the bus, and the rest walked. Determine the relative frequency of someone not commuting to work by car.

Writing the known information into a table, we have

We currently do not know the frequency of people who walked to work. We can calculate this as we know the total frequency.

The number of people who walked to work is equal to

1200-(640+174)=386.

We now have the full table,

The total frequency is 1200.

Divide each frequency by the total number of people (1200), we have

The relative frequency of someone walking to work is 0.321\dot{6} .

How to find a frequency using an experimental probability

In order to calculate a frequency using an experimental probability:

Multiply the total frequency by the experimental probability.

Explain how to find a frequency using an experimental probability

Example 5: calculating a frequency

A dice was rolled 300 times. The experimental probability of rolling an even number is \frac{27}{50}. How many times was an even number rolled?

An even number was rolled 162 times.

Example 6: calculating a frequency

A bag contains different coloured counters. A counter is selected at random and replaced back into the bag 240 times. The probability distribution of the experiment is given below.

Determine the number of times a blue counter was selected.

As the events are mutually exclusive, the sum of the probabilities must be equal to 1. This means that we can determine the value of x.

1-(0.4+0.25+0.15)=0.2

The experimental probability (relative frequency) of a blue counter is 0.2.

Multiplying the total frequency by 0.1, we have

240 \times 0.2=48.

A blue counter was selected 48 times.

Common misconceptions

• Forgetting the differences between theoretical and experimental probability

It is common to forget to use the relative frequencies from experiments for probability questions and use the theoretical probabilities instead. For example, they may be asked to find the probability of a die landing on an even number based on an experiment and the student will incorrectly answer it as 0.5.

• The relative frequency is not an integer

The relative frequency is the same as the experimental probability. This value is written as a fraction, decimal or percentage, not an integer.

Practice experimental probability questions

1. A coin is flipped 80 times and the results recorded.

Determine the probability distribution of the coin.

As the number of tosses is 80, dividing the frequencies for the number of heads and the number of tails by 80, we have

2. A 6 sided die is rolled 160 times and the results recorded.

Determine the probability distribution of the die. Write your answers as fractions in their simplest form.

Dividing the frequencies of each number by 160, we get

3. A 3 -sided spinner is spun and the results recorded.

Find the probability distribution of the spinner, giving you answers as decimals to 2 decimal places.

Dividing the frequencies of each colour by 128 and simplifying, we have

4. A 3 -sided spinner is spun and the results recorded.

Find the probability of the spinner not landing on red. Give your answer as a fraction.

Add the frequencies of blue and green and divide by 128.

5. A card is picked at random from a deck and then replaced. This was repeated 4000 times. The probability distribution of the experiment is given below.

How many times was a club picked?

6. Find the missing frequency from the probability distribution.

The total frequency is calculated by dividing the frequency by the relative frequency.

Experimental probability GCSE questions

1. A 4 sided spinner was spun in an experiment and the results recorded.

(a) Complete the relative frequency column. Give your answers as decimals.

(b) Find the probability of the spinner landing on a square number.

Total frequency of 80.

2 relative frequencies correct.

All 4 relative frequencies correct 0.225, \ 0.2, \ 0.3375, \ 0.2375.

Relative frequencies of 1 and 4 used.

0.4625 or equivalent

2. A 3 sided spinner was spun and the results recorded.

Complete the table.

Process to find total frequency or use of ratio with 36 and 0.3.

3. Ben flipped a coin 20 times and recorded the results.

(a) Ben says, “the coin must be biased because I got a lot more heads than tails”.

Comment on Ben’s statement.

(b) Fred takes the same coin and flips it another 80 times and records the results.

Use the information to find a probability distribution for the coin.

Stating that Ben’s statement may be false.

Mentioning that 20 times is not enough trials.

Evidence of use of both sets of results from Ben and Fred.

Process of dividing by 100.

P(heads) = 0.48 or equivalent

P(tails) = 0.52 or equivalent

Learning checklist

You have now learned how to:

• Use a probability model to predict the outcomes of future experiments; understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size

The next lessons are

• How to calculate probability
• Combined events probability
• Describing probability

Still stuck?

Prepare your KS4 students for maths GCSEs success with Third Space Learning. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors.

Find out more about our GCSE maths tuition programme.

Privacy Overview

Free Printable experimental probability worksheets

Explore the world of experimental probability with our comprehensive collection of free printable math worksheets. Ideal for math teachers and students, discover new ways to learn and master probability concepts.

10th - 11th

11th - 12th

10th - 12th

Explore Worksheets by Grade

Explore worksheets by subjects.

• Social studies
• Social emotional
• Foreign language
• Reading & Writing

Explore printable experimental probability worksheets

Experimental probability worksheets are an excellent resource for teachers looking to enhance their students' understanding of probability and statistics concepts in Math. These worksheets provide a hands-on approach to learning, allowing students to explore the principles of probability through real-world scenarios and engaging activities. By incorporating experimental probability worksheets into their lesson plans, teachers can effectively reinforce key concepts, such as sample spaces, likelihood, and outcomes, while also fostering critical thinking and problem-solving skills. Furthermore, these worksheets cater to various grade levels, ensuring that students of all ages can benefit from this practical approach to learning about probability and statistics. In conclusion, experimental probability worksheets are invaluable tools for teachers seeking to enrich their Math curriculum and help their students excel in the study of probability and statistics.

Quizizz is a fantastic platform that offers a wide range of educational resources, including experimental probability worksheets, to support teachers in their quest to provide engaging and effective Math lessons. In addition to worksheets, Quizizz also features interactive quizzes, games, and other activities that can be easily integrated into lesson plans, making it a one-stop-shop for teachers looking to enhance their probability and statistics instruction. The platform's user-friendly interface and customizable content make it simple for teachers to find and adapt resources to suit the needs of their students, regardless of grade level. Moreover, Quizizz's extensive library of resources ensures that teachers can continually update and diversify their teaching materials, keeping students engaged and motivated to learn. Overall, Quizizz is an invaluable resource for teachers seeking innovative and effective ways to teach probability and statistics concepts through experimental probability worksheets and other engaging activities.

Experimental Probability and Relative Frequency: Worksheets with Answers

Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. And best of all they all (well, most!) come with answers.

Mathster keyboard_arrow_up Back to Top

Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers.

Corbett Maths keyboard_arrow_up Back to Top

Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. It really is one of the very best websites around.

Visual maths worksheets, each maths worksheet is differentiated and visual.

Experimental Probability worksheet

Total reviews: (0), experimental probability worksheet description.

Students will conduct their own dice experiment and compare their results with theoretical probability in section A. In section A, pupils must roll a dice 60 times and record the number of ‘6’s scored after every 10 rolls in the table provided and plot their results on a graph (axes provided). Pupils will compare their results with the theoretical probability of rolling a fair dice and could also compare their results with their peers.

In section B, the same experiment has been carried out, but this time the results have been provided. Students will again work out the experimental probability of these results, plot them on a graph and discuss by answering questions about the data.

Related to Experimental Probability worksheet:

We love to get your feedback:, get 20 free maths worksheets.

Fill out the form below to get 20 FREE maths worksheets!

• Skills by Standard
• Skills by Grade
• Skills by Category

Go to profile

• Assignments
• Assessments
• Report Cards
• Our Teachers

Need some help or instruction on how to do this skill?

Share MathGames with your students, and track their progress.

Learn Math Together.

Once you're comfortable with this skill, test your speed with our games.

If you notice any problems, please let us know .

Experimental Probability

Related Topics: More Lessons for Probability Math Worksheets

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

Theoretical Probability with Dice Practice Grid ( Editable Word | PDF | Answers )

Theoretical Probability with Spinners Practice Grid ( Editable Word | PDF | Answers )

Theoretical Probability with Counters Practice Grid ( Editable Word | PDF | Answers )

Theoretical Probability with Playing Cards Practice Grid ( Editable Word | PDF | Answers )

Theoretical Probability Practice Strips ( Editable Word | PDF | Answers )

Theoretical Probability Odd One Out ( Editable Word | PDF | Answers )

*NEW* Constructing Two-Way Tables Practice Grid ( Editable Word | PDF | Answers )

*NEW* Completing Two-Way Tables Practice Grid ( Editable Word | PDF | Answers )

*NEW* Finding Probability from Two-Way Tables Practice Grid ( Editable Word | PDF | Answers )

Two-Way Tables and Probability Practice Strips ( Editable Word | PDF | Answers )

Experimental Probability Practice Strips ( Editable Word | PDF | Answers )

Estimating Probability Experiments Activity ( Editable Word | PDF )

Theoretical and Experimental Probability Revision Practice Grid ( Editable Word | PDF | Answers ​ )

Experimental Probability Study Guide

Experimental probability is the likelihood of an event happening based on the results of an actual experiment or trial. It is calculated by conducting an experiment and recording the number of times the event occurs, then dividing that number by the total number of trials.

Calculating Experimental Probability

To calculate the experimental probability of an event, you can use the following formula :

Experimental Probability = Number of times the event occurs / Total number of trials

Suppose you roll a standard six-sided die 30 times and record the number of times a 4 is rolled. If the number 4 comes up 8 times , the experimental probability of rolling a 4 is:

Experimental Probability = 8 / 30 = 0.267

Steps to Calculate Experimental Probability

• Conduct the experiment and record the outcomes.
• Count the number of times the event of interest occurs.
• Divide the number of favorable outcomes by the total number of trials.

Key Concepts

• The experimental probability will change as the number of trials increases.
• The experimental probability may not always reflect the theoretical probability of an event.

Applications of Experimental Probability

• Weather forecasting
• Sports statistics
• Market research

Practice Problems

Calculate the experimental probability for the following scenarios:

• You toss a coin 50 times and it lands on heads 28 times .
• A basketball player makes 35 out of 50 free throw attempts.
• A spinner is spun 40 times and lands on red 12 times .

Now you can use this study guide to understand and practice experimental probability !

Read More...

◂ Math Worksheets and Study Guides Eighth Grade. Experimental Probability

The resources above cover the following skills:

• Download and Print thousands of standards-based ELA, Social Study, Science and Math Worksheets and Study Guides!
• Terms of Use
• Privacy Policy
• Membership Benefits
• Completing Worksheets Online
• Share to Google Classroom
• NewPathLearning

• International
• Education Jobs
• Schools directory
• Resources Education Jobs Schools directory News Search

Maths KS3: Experimental Probability Worksheet

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

17 November 2014

• Share through email
• Share through twitter
• Share through linkedin
• Share through facebook
• Share through pinterest

Tes classic free licence

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

Empty reply does not make any sense for the end user

danielsdafe

Thanks for sharing this. Nice, easy to use.

anjalimartin

Great starter questions

sarahnsprog

not sure of the origin, but these questions are the same as the pixi powerpoint ones

Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

Not quite what you were looking for? Search by keyword to find the right resource:

Experimental Probability Models

A probability model shows all of the possible outcomes of an event and the probability of each outcome. Use this worksheet to introduce math students to the concept of experimental probability models. This worksheet first illustrates how to make a prediction based on an experimental probability in the probability model by setting up and solving a proportion. Then students are asked to create probability models and make predictions using real-world situations and data. This important seventh-grade skill serves as a strong foundation for higher-level probability concepts to come.

View aligned standards

Experimental Probability

The chance or occurrence of a particular event is termed its probability. The value of a probability lies between 0 and 1 which means if it is an impossible event, the probability is 0 and if it is a certain event, the probability is 1. The probability that is determined on the basis of the results of an experiment is known as experimental probability. This is also known as empirical probability.

What is Experimental Probability?

Experimental probability is a probability that is determined on the basis of a series of experiments. A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial. The experiment is conducted to find the chance of an event to occur or not to occur. It can be tossing a coin, rolling a die, or rotating a spinner. In mathematical terms, the probability of an event is equal to the number of times an event occurred ÷ the total number of trials. For instance, you flip a coin 30 times and record whether you get a head or a tail. The experimental probability of obtaining a head is calculated as a fraction of the number of recorded heads and the total number of tosses. P(head) = Number of heads recorded ÷ 30 tosses.

Experimental Probability Formula

The experimental probability of an event is based on the number of times the event has occurred during the experiment and the total number of times the experiment was conducted. Each possible outcome is uncertain and the set of all the possible outcomes is called the sample space. The formula to calculate the experimental probability is: P(E) = Number of times an event occurs/Total number of times the experiment is conducted

Consider an experiment of rotating a spinner 50 times. The table given below shows the results of the experiment conducted. Let us find the experimental probability of spinning the color - blue.

The experimental probability of spinning the color blue = 10/50 = 1/5 = 0.2 = 20%

Experimental Probability vs Theoretical Probability

Experimental results are unpredictable and may not necessarily match the theoretical results. The results of experimental probability are close to theoretical only if the number of trials is more in number. Let us see the difference between experimental probability and theoretical probability.

Experimental Probability Examples

Here are a few examples from real-life scenarios.

a) The number of cookies made by Patrick per day in this week is given as 4, 7, 6, 9, 5, 9, 5.

Based on this data, what is the reasonable estimate of the probability that Patrick makes less than 6 cookies the next day?

P(< 6 cookies) = 3/7 = 0.428 = 42%

b) Find the reasonable estimate of the probability that while ordering a pizza, the next order will not be of a pepperoni topping.

Based on this data , the reasonable estimate of the probability that the next type of toppings that would get ordered is not a pepperoni will be 15/20 = 3/4 = 75%

Related Sections

• Card Probability
• Conditional Probability Calculator
• Binomial Probability Calculator
• Probability Rules
• Probability and Statistics

Important Notes

• The sum of the experimental probabilities of all the outcomes is 1.
• The probability of an event lies between 0 and 1, where 0 is an impossible event and 1 denotes a certain event.
• Probability can also be expressed in percentage.

Examples on Experimental Probability

Example 1: The following table shows the recording of the outcomes on throwing a 6-sided die 100 times.

Find the experimental probability of: a) Rolling a four; b) Rolling a number less than four; c) Rolling a 2 or 5

Experimental probability is calculated by the formula: Number of times an event occurs/Total number of trials

a) Rolling a 4: 17/100 = 0.17

b) Rolling a number less than 4: 56/100 = 0.56

c) Rolling a 2 or 5: 31/100 = 0.31

Example 2: The following set of data shows the number of messages that Mike received recently from 6 of his friends. 4, 3, 2, 1, 6, 8. Based on this, find the probability that Mike will receive less than 2 messages next time.

Mike has received less than 2 messages from 2 of his friends out of 6.

Therefore, P(<2) = 2/6 = 1/3

go to slide go to slide

Book a Free Trial Class

Practice Questions on Experimental Probability

Frequently asked questions (faqs), how do you find the experimental probability.

The experimental probability of an event is based on actual experiments and the recordings of the events. It is equal to the number of times an event occurred divided by the total number of trials.

What is the Experimental Probability of rolling a 6?

The experimental probability of rolling a 6 is 1/6. A die has 6 faces numbered from 1 to 6. Rolling the die to get any number from 1 to 6 is the same and the probability (of getting a 6) = Number of favorable outcomes/ total possible outcomes = 1/6.

What is the Difference Between Theoretical and Experimental Probability?

Theoretical probability is what is expected to happen and experimental probability is what has actually happened in the experiment.

Do You Simplify Experimental Probability?

Yes, after finding the ratio of the number of times the event occurred to the total number of trials conducted, the fraction which is obtained is simplified.

Which Probability is More Accurate, Theoretical Probability or Experimental Probability?

Theoretical probability is more accurate than experimental probability. The results of experimental probability are close to theoretical only if the number of trials are more in number.

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Course: 7th grade   >   Unit 7

• Statistics and probability FAQ
• Intro to theoretical probability
• Simple probability: yellow marble
• Simple probability: non-blue marble
• Simple probability

Experimental probability

• Intuitive sense of probabilities
• Comparing probabilities

Want to join the conversation?

• Upvote Button navigates to signup page
• Downvote Button navigates to signup page
• Flag Button navigates to signup page

Video transcript

EXPERIMENTAL AND THEORICAL PROBABILITY WORKSHEET

Experimental probability - practice questions.

Problem 1 :

Find the experimental probability of 

(a)  Tossing a head with one toss of a coin if it falls heads 96 times in 200 tosses.

(b) Rolling a six with a die given that when it was rolled 300 times, a six occurred 54 times

Problem 2 :

Find the experimental probability of rolling an odd number with a die if an odd number occurred 33 times when the die was rolled 60 times.              Solution

Problem 3 :

Clem fired 200 arrows at a target and hit the target 168 times. Find the experimental probability of Clem hitting the target.              Solution

Problem 4 :

Ivy has free-range hens. Out of the first 123 eggs that they laid she found that 11 had double-yolks. Calculate the experimental probability of getting a double-yolk egg from her hens.             Solution

Problem 5 :

Jackson leaves for work at the same time each day. Over a period of 227 working days, on his way to work he had to wait for a train at the railway crossing on 58 days. Calculate the experimental probability that Jackson has to wait for a train on his way to work.

Problem 6 :

Ravi has a circular spinner marked P, Q and R on equal sectors. Find the experimental probability of getting a Q if the spinner was twirled 417 times and finished on Q on 138 occasions.

Problem 7 :

Each time Claude shuffled a pack of cards before a game, he recorded the suit of the top card of the pack His results for 140 games were 34 Hearts, 36 Diamonds, 38 Spades and 32 Clubs.

Find the experimental probability that the top card of a shuffled pack is :

(a) a Heart  (b) a Club or Diamond

(1)  (a)   96/200    (b)   54/300

(2)   11/20

(3)   168/200

(4)   11/123

(5)   58/227

(6)   138/417

(7)  (a)   34/140   (b)   68/140

Theoretical Probability

A die is rolled. What is the theoretical probability of getting :

b) a "prime number"?

A bag contains 1 yellow, 2 green and 5 blue beds. One bead is chosen at random. Find the probability that it is :

(a)  Yellow  (b)  not yellow

1 A die numbered 1 to 6 is rolled once. Find:

b) P(even number)

c) P(a number at least 1)

e) P(not a 5)

f) P(a number greater than 6)

The five illustrated cards are well shuffled and placed face down on a table. One of the cards is randomly chosen. 

A bag contains 10 beads. 5 are white, 2 are red, 1 is blue, 1 is green and 1 is black. A bead is taken at random from the bag. Find:

a) P(white)

c) P(not black)              Solution

A letter is randomly chosen from GENEVA.

a)  Find the probability that it is:

b) Given that the letter chosen first is a G and it is removed, what is the probability that a second randomly chosen letter is a vowel?           Solution

A dart board has 30 sectors, numbered 1 to 30. A dart is thrown towards the bulls-eye and misses in a random direction. Determine the probability that the dart hits:

a) a multiple of 5

b) a number between 7 and 13 inclusive

c) a number greater than 18

e) a multiple of 7

f) an even number that is a multiple of 3.

(1)  (a)   1/6   (b)  1/2

(2)  (a)  1/8   (b)  7/8

(3)  (a)  1/6  (b)  1/2  (c)  1  (d)   1/6  (e)  5/6  (f)   0

(4)  (a)   2/5  (b)  1/5  (c)  4/5  (d)  4/5

(5)  (a)   1/2  (b)     1/10  (c)  9/10

(6)  (a)  (i)     1/3  (ii)   0  (b)   3/5

(7)  (a)   1/5  (b)   7/30  (c)   11/30  (d)   1/30  (e)   2/15

(f)   1/6

Apart from the stuff given above, i f you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to   [email protected]

We always appreciate your feedback.

© All rights reserved. onlinemath4all.com

• Sat Math Practice
• SAT Math Worksheets
• PEMDAS Rule
• BODMAS rule
• GEMDAS Order of Operations
• Math Calculators
• Transformations of Functions
• Order of rotational symmetry
• Lines of symmetry
• Compound Angles
• Quantitative Aptitude Tricks
• Trigonometric ratio table
• Word Problems
• Times Table Shortcuts
• 10th CBSE solution
• PSAT Math Preparation
• Privacy Policy
• Laws of Exponents

Recent Articles

Digital sat math problems and solutions (part - 30).

Aug 19, 24 08:09 AM

SAT Math Resources (Videos, Concepts, Worksheets and More)

Aug 19, 24 08:07 AM

Solving Exponential Equations Problems and Solutions (Part -2)

Aug 18, 24 11:16 PM