Most Common Probability & Statistics Questions for Exams
Statistics and Probability is a scoring chapter in JEE Main Maths, covering concepts like data interpretation, random variables, permutations, combinations, and probability theorems. Mastering this chapter helps you solve high-yield MCQs efficiently in the actual exam. Take this mock test to boost your conceptual grasp, enhance accuracy, and reinforce your exam readiness!
Mock Test Instructions for the Statistics And Probability Mock Test 1:
- 20 questions from Statistics And Probability Mock Test 1
- Time limit: 20 minutes
- Single correct answer per question
- Correct answers appear in bold green after submission
How Can JEE Mock Tests Help You Master Statistics and Probability?
- Practice frequently to quickly spot errors in probability and statistics calculations.
- Use mock tests to reinforce understanding of mean, median, mode, and probability distributions.
- Work on time management for lengthy permutation and combination problems in a test setting.
- Analyze your performance after each mock to improve weak subtopics like standard deviation or Bayes' theorem.
- Attempting JEE-style questions boosts familiarity with question trends and increases scoring consistency.
Sharpen Your Problem-Solving with Expert-Designed JEE Statistics and Probability Mock Tests
- Strengthen fundamentals by solving topic-wise MCQs based on JEE Main exam patterns.
- Mock tests simulate actual exam pressure and improve accuracy in random variable and sampling problems.
- Gain confidence by tackling previous year-based probability and statistics questions.
- Identify and avoid common mistakes in calculations involving permutations and combinations.
- Review instant feedback to focus revision on areas with frequent errors or misconceptions.
Subject-Wise Excellence: JEE Main Mock Test Links
| S.No. | Subject-Specific JEE Main Online Mock Tests |
|---|---|
| 1 | Online FREE Mock Test for JEE Main Chemistry |
| 2 | Online FREE Mock Test for JEE Main Maths |
| 3 | Online FREE Mock Test for JEE Main Physics |
Important Study Materials Links for JEE Exams
FAQs on Statistics and Probability Mock Test 2025 with Answers
1. What is the difference between statistics and probability?
Statistics deals with the collection, analysis, interpretation, presentation, and organization of data, while probability is concerned with predicting the likelihood of future events. In other words, statistics uses data from the real world to make inferences, and probability uses known parameters to determine the chance of possible outcomes.
2. Explain the term random experiment with an example.
A random experiment is a process whose outcome cannot be predicted with certainty in advance. For example, tossing a coin is a random experiment because the result could be either heads or tails, but we cannot guarantee which outcome will occur on a specific toss.
3. Define mean, median, and mode in statistics.
Mean is the average value of a dataset, found by dividing the sum of all values by the number of values. Median is the middle value when all measurements are arranged in order. Mode is the value that appears most frequently in the dataset.
4. What is the formula for finding probability of an event?
Probability of an event E is given by:
P(E) = (Number of favourable outcomes) / (Total number of possible outcomes)
It measures how likely the event is to occur.
5. How do you distinguish between discrete and continuous data?
Discrete data includes separate, countable values (like number of students), while continuous data can take any value in a range (like height or weight). Discrete data is often counted, while continuous data is often measured.
6. What is a sample space in probability?
Sample space is the set of all possible outcomes of a random experiment. For example, for rolling a die, the sample space is {1, 2, 3, 4, 5, 6}.
7. When are two events said to be mutually exclusive?
Two events are mutually exclusive if they cannot both occur at the same time. For example, when tossing a coin, getting heads and tails in a single toss are mutually exclusive.
8. What is the empirical probability?
Empirical probability is the ratio of the number of times an event occurs to the total number of trials, based on actual experiment data. It is also called experimental probability.
9. How can you represent data using a histogram?
A histogram is a graphical representation of continuous data, where data is grouped into ranges (bins), and each bar's height shows the frequency of data in that interval. It's useful for showing distribution of large datasets.
10. What is the importance of central tendency in statistics?
Central tendency refers to measures that describe the center of a data set, such as the mean, median, and mode. These measures are important to summarize and compare data efficiently.
11. State and explain the addition theorem of probability for two events.
The addition theorem of probability states:
P(A or B) = P(A) + P(B) – P(A and B)
This formula is used when events A and B are not mutually exclusive, to avoid double-counting their intersection.
12. Give an example of solving a simple probability question from a deck of cards.
The probability of drawing an Ace from a standard deck of 52 cards:
There are 4 Aces, so:
P(Ace) = 4 / 52 = 1 / 13
