This 9th class maths chapter 13 online test covers Chapter 13 of the Class 9 Mathematics course, Probability. It has 25 multiple-choice questions, shown one at a time, and it marks itself the moment you finish. There is no timer and no sign-up. When you press finish you get your score, and every question is shown again with your answer, the correct option and a short explanation of why that option is right. An Urdu medium version of the same test is given further down this page.
What Chapter 13 Covers
The 25 questions are spread across the whole unit rather than one exercise, so the test is a fair check of whether you are ready for a class test or the annual paper:
- Basic vocabulary — experiment, outcome, sample space, sample point and event.
- The probability scale — why probability always lies between 0 and 1, and the probability of certain and impossible events.
- Complementary events — P(A) + P(A′) = 1, and finding the probability of not getting a 6.
- Equally likely events, and probability with a single die, such as getting a number divisible by 3.
- Two-stage experiments — rolling a pair of dice, double 2, multiples of 3 on both dice, and the sample space when 4 dice are rolled.
- Playing cards and coloured balls — drawing a heart from 52 cards, or a green ball from a bag.
- Relative frequency and expected frequency, and the number of non-defective items in a batch.
Revise These Before You Start
Most marks in this unit are lost on the same few points. Read through these once before attempting the test:
- Probability always satisfies 0 ≤ P(A) ≤ 1. A certain event has probability 1 and an impossible event 0.
- P(A) + P(A′) = 1, so the probability of not getting a 6 on a die is 1 − 1/6 = 5/6.
- With n dice the sample space has 6n outcomes, so four dice give 1296.
- Rolling a pair of dice gives 36 equally likely outcomes, so a specific double such as double 2 has probability 1/36.
- A standard pack has 52 cards in four suits of 13, so the probability of a heart is 13/52 = 1/4.
- Expected frequency = probability × number of trials, and all the expected frequencies add up to the number of trials.
How the Test Works
- 25 questions, one at a time, with Next and Previous buttons.
- No timer, so you can work a calculation out on paper before answering.
- Automatic marking the moment you finish.
- Answer review with the correct option and an explanation for every question.
- Retake as many times as you like, and your score is not stored anywhere.
Start the Chapter 13 Online Test
Count the full sample space before anything else — once the denominator is right, most of these questions answer themselves. Keep a pen and rough paper beside you: the numerical questions are quick, but they are much easier to get right written down than in your head. Aim for 20 out of 25 or better before you move on to the next unit.
Chapter 13 Online Test — Urdu Medium
Urdu medium students can attempt the same Chapter 13 test with every question, option and explanation written in Urdu. It behaves exactly like the English test above: 25 questions one at a time, no timer, and a full answer review at the end.
Mistakes Students Make in This Unit
When you look through your answer review, check whether any of your wrong answers came from these:
- Giving a probability greater than 1, usually by adding when you should multiply.
- Counting 12 outcomes for a pair of dice instead of 36.
- Forgetting that there are four of each card value in a pack.
- Mixing up P(A) and P(A′) when the question says “not”.
- Counting repeated letters only once in questions such as choosing a letter from MATHEMATICS.
What to Do After the Test
A score on its own teaches you very little. Go through the answer review properly and write down the number of every question you got wrong, along with the topic it came from. If two or three of them come from the same section of the unit, that section is what you revise next — not the whole chapter again. Then retake the test a day or two later rather than immediately, because answering correctly from memory is not the same as understanding it. Once you are consistently scoring above 20, move on and come back to this test in your final week of revision.
Frequently Asked Questions
What is a sample space?
The set of every possible outcome of an experiment. Rolling one die has a sample space of {1, 2, 3, 4, 5, 6}, and each element in it is called a sample point.
How many outcomes are there when two dice are rolled?
Thirty-six, because each of the six faces of the first die can pair with each of the six faces of the second. That is why a particular double has a probability of 1/36.
What is expected frequency?
The number of times you would expect an event to happen, found by multiplying its probability by the number of trials. If a bolt is defective with probability 0.3, then out of 100 bolts you expect 30 defective and 70 sound ones.
Is this test free?
Yes. There is no sign-up, no limit on retakes and nothing is locked. Your score is not saved or shared.
Related Class 9 Maths Resources
Carry on with the Chapter 12 online test (Information Handling). For full-length practice, download the 25 Class 9 Maths guess papers, each a complete 75-mark bilingual paper. You can also browse all Class 9 Maths test papers and every Class 9 Maths online test, or open the Class 9 Mathematics section for everything in one place.
Studying the other subjects too? There are self-marking chapter tests for Class 9 Physics and Class 9 Biology, and you can browse the whole Class 9 section by subject.