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IPMAT Probability Questions
Probability is an important topic in the IPMAT exam. It tells us how likely something is to happen. It is a basic maths topic and many questions in the exam are based on it.
In the beginning, probability may look a little hard. But once you learn the basics, it becomes easy. In IPMAT, most probability questions are simple if your concepts are clear. With regular practice, you can solve these questions quickly and get good marks.
Download IPMAT Probability Questions PDF
To get better at this topic, you should practice questions daily. A good PDF can help you practice many types of questions in one place.
You can download the questions PDF from the link below. It has important probability questions with solutions. These solutions will help you understand the steps clearly.
IPMAT Probability Formulas
Formulas make this topic easier. If you know the basic formulas, you can solve questions faster.
You should learn simple formulas of probability, like the probability of an event, the probability of not happening, and other basic rules. These formulas are very useful in the exam.
| Topic | Formula | Meaning (Simple Words) |
|---|---|---|
| Basic Probability | ( P(A) = \frac{\text{Favourable outcomes}}{\text{Total outcomes}} ) | Chance of event A happening |
| Not Happening (Complement) | ( P(A') = 1 - P(A) ) | Chance of event NOT happening |
| Range of Probability | ( 0 \leq P(A) \leq 1 ) | Probability is always between 0 and 1 |
| Certain Event | ( P(A) = 1 ) | Event will definitely happen |
| Impossible Event | ( P(A) = 0 ) | Event will never happen |
| Addition Rule | ( P(A \cup B) = P(A) + P(B) - P(A \cap B) ) | A or B happens |
| For Non-Overlapping Events | ( P(A \cup B) = P(A) + P(B) ) | When A and B cannot happen together |
| Multiplication Rule | ( P(A \cap B) = P(A) \times P(B | A) ) |
| Independent Events | ( P(A \cap B) = P(A) \times P(B) ) | A and B do not affect each other |
| Conditional Probability | ( P(A | B) = \frac{P(A \cap B)}{P(B)} ) |
If you revise the formulas again and again, you will remember them better. A short formula is good for quick revision before the exam.
Common Mistakes to Avoid While Solving IPMAT Probability Questions
Not learning the basic concept properly
Using the wrong number of total outcomes
Counting the correct outcomes in the wrong way
Getting confused in tricky questions
Not reading the question carefully
Ignoring small details in the question
Making calculation mistakes
Not checking the answer at the end
How to Use the IPMAT Probability PDF
First, solve easy questions to understand the topic. Then solve medium-level questions to improve your speed.
Always check the solution after solving. Try to understand the method used. Practice every day and learn from your mistakes. This will help you do better.
List of IPMAT Probability Questions
In IPMAT, probability questions come in different forms. Some questions are based on basic probability. Some are based on coins, dice, or cards.
Some questions also mix probability with other topics. If you practice all types of questions, you will feel more confident in the exam.
Question 1
The minimum number of times a fair coin must be tossed so that the probability of getting at least one head exceeds 0.8 is
correct answer:- 4
Question 2
If one of the factors of the number $$3^{7} 2^{8} 17^{3}$$ is randomly chosen, then the probability that the chosen factor will be a perfect square is.
correct answer:- 1
Question 3
If a three-digit number is chosen at random, what is the probability that it is divisible neither by 3 nor by 4?
correct answer:- 4
Question 4
The probability that a randomly chosen factor of $$10^{19}$$ is a multiple of $$10^{15}$$ is
correct answer:- 4
Question 5
A $$2 \times 2$$ matrix is filled with four distinct integers randomly chosen from the set {1,2,3,4,5,6}.
Then the probability that the matrix generated in such a way is singular is
correct answer:- 1
Question 6
If 5 boys and 3 girls sit randomly around a circular table, the probability that there will be at least one boy sitting between any two girls is
correct answer:- 2
Question 7
From a pack of 52 cards, we draw one by one, without replacement. If f(n) is the probability that an Ace will appear at the $$n^{th}$$ turn, then
correct answer:- 2
Question 8
The probability that a randomly chosen positive divisor of $$10^{2023}$$ is an integer multiple of $$10^{2001}$$ is
correct answer:- 4
Question 9
A and B take part in a rifle shooting match. The probability of A hitting the target is 0.4, while the probability of B hitting the target is 0.6. If A has the first shot, post which both strike alternately, then the probability that A hits the target before B hits it is
correct answer:- 2
Question 10
A natural number n lies between 100 and 400, and the sum of its digits is 10. The probability that n is divisible by 4, is
correct answer:- 2
Question 11
A man is known to speak the truth on an average 4 out of 5 times. He throws a die and reports that it is a five. The probability that it is actually a five is
correct answer:- 1
Question 12
A die is thrown three times and the sum of the three numbers is found to be 15. The probability that the first throw was a four is
correct answer:- 3
