Probability is a very popular topic in Mathematics syllabus of the IIT JEE and nightmare for many students. Sometimes this topic challenges the brightest Student’s patience. As a result, even though it’s not thought of as a particularly basic topic, mastering it is crucial to maintaining your competitiveness in IIT JEE. Conversely, 9–10% of the questions in JEE Main are related to probability and statistics.
The majority of pupils struggle to understand this subject since they don’t understand the fundamentals. As probability focuses more on an individual’s logical understanding and creativity than on memory, calculating, solving equations, etc., it differs from other courses like calculus, trigonometry, sets relation function, or coordinate geometry. The answer cannot be found using a certain equation. Here, we need to exercise our reasoning. Thus, it takes some work to become proficient at it.
Although statistics is not covered in JEE Advanced, it is in the JEE Mains syllabus, and it is rather simple to receive a perfect score on a statistics question. Statistics are simple to comprehend. Formulas for variance and standard deviation must be readily available because they are frequently requested.
Not only can thorough and consistent practice help one become an expert in probability, but it’s also critical to grasp the principles. The following subjects must be understood.
The topic probability is typically used by the paper setters to make the top scorers sweat in the exam room. Typically, 2-3 questions from the probability section make up 6-7% of the paper in JEE Advanced. Conversely, 9–10% of the questions in JEE Main are related to probability and statistics. The Bayes Theorem, total probability, and binomial distribution are three concepts that should receive extra attention because in recent years, questions on probability have typically taken the form of paragraphs.
We can go through the basic idea of probability by selecting some real life situation which will make you understand about probability. There are three probabilities
One of the forms of probability that is used in statistics the most frequently, particularly in practical contexts, is theoretical probability. Since theoretical probability is the likelihood that a desired event will materialize, it is necessary to identify the desired outcome. The number of desired outcomes divided by the total number of outcomes in the event yields the chance that the event will occur.
P (event) = number of desirable events/ total number of outcomes.
Think about starting a charitable initiative that provides food and shelter to the homeless. To complete the various objectives in the program, the program leader had to choose three teams of five people each. Team B would serve the drinks, Team C would gather and wash the dishes, and Team A would serve the dinner. The individual X choose to join team A As a result, the theoretical probability of being in team A was 5/15= 1/3, meaning that there were 5 favorable possibilities out of 15 conceivable outcomes.
Relative frequency probability highlights the number of times that an event occurs during several trials or experiments.
P (event) = number of times it occurs/ total number of trials
We encounter relative frequency probability in our day-to-day operations. For example, twenty students took the examination in the cookery class. Ten people made potato stew, two made mutton curry, and eight made chicken soup. The following were the three options’ relative frequency probabilities:
Chicken soup = 8/20= 0.4
Potato stew =10/20= 0.5
Mutton curry = 2/20= 0.1
When determining which events occur more frequently, researchers typically employ the relative frequency probability in their experimental trials. This offers information that can be utilized to forecast the outcomes of changing specific factors in an experiment.
Subjective probability is the process of estimating an event’s likelihood based on one’s own subjective assessment. Subjective probability is independent of computations. Due to its subjective nature, subjective probability can have any proportion assigned to it. Using a real- world example Since student X’s laptop was just broken, her father was 80% certain that she would call to borrow his laptop because he knew she had an assignment to type. Since there was no statistical foundation for the opinion, this was a subjective likelihood. Since subjective opinions are not reliable statistical facts, they are constantly subject to bias.
There are always two possible values for probability: 0 (0% Chance of Happening) and 1 (100% Chance of Occurring). Higher the likelihood, the more probable it is that the event will occur.This is probability’s fundamental concept.
Probability of event A = P(A) = Number of favorable outcomes/ Total number of outcomes
Probability can be used for more than just straightforward events (like coin flips and dice throws) with tiny sample sizes.This is the fundamental synopsis of probability. The next step is to become familiar with and comprehend every subject covered in the JEE probability.
The greatest method to get started and strengthen your Basics is to start with NCERT. In addition to strengthening your notion, answering various kinds of questions helps you get ready for future problems. Students can solve the NCERT Exemplar after finishing the NCERT. There are some excellent practice and skill-building questions in this book.
Completing the NCERT Exemplar helps you get ready for both JEE Main and the Class XII Boards. Practice a significant number of questions from reputable books and resources that are more difficult. The cherry on top of your preparation is to practice previous year’s JEE Main and Advanced problems. Solving last year’s problems is crucial since it enables you to comprehend the kinds of questions the examiner will be asking you.
This is the most crucial aspect now, it is indeed a revision. Revision is essential if you want to get higher grades because it helps you identify your weak areas and boosts your speed and accuracy. Review all of the ideas, go over the uncomfortable issues again, and go over the questions you were unable to answer the first time. Try some of the more challenging issues from Good Question Banks as well.
The best reference books are these ones. However, it’s challenging to go behind distinct novels.Therefore, we require a coaching center that offers the greatest study materials, such as solved JEE questions from prior years and their solutions.The significance of Bin Haider Academy can be found there.Achieve your objective by enrolling in our IIT JEE/NEET coaching.
