Probability and Permutation-Combination in JEE Main Exam Mathematics Section

Introduction
The JEE Main exam is a highly competitive entrance examination for admission into prestigious engineering colleges in India. The mathematics section of the JEE Main exam tests the candidates' knowledge and understanding of various mathematical concepts, including probability and permutation-combination.

Probability in JEE Main Exam
Probability is an important topic in the mathematics section of the JEE Main exam. It deals with the study of random events and their likelihood of occurrence. Questions related to probability in JEE Main can be of varying difficulty levels, ranging from basic concepts to complex problems. Some common topics related to probability that can be asked in the exam include:

1. Probability of an event
2. Conditional probability
3. Bayes' theorem
4. Random variables and probability distributions
5. Binomial and Poisson distributions
6. Expected value and variance

Permutation-Combination in JEE Main Exam
Permutation-combination is another important topic in the mathematics section of the JEE Main exam. It deals with the arrangement and selection of objects. Questions related to permutation-combination in JEE Main can be both concept-based and application-based. Some common topics related to permutation-combination that can be asked in the exam include:

1. Permutations and combinations
2. Fundamental principle of counting
3. Factorial notation
4. Circular permutations
5. Combinations with repetitions
6. Binomial theorem and its applications

Example Questions
To give you an idea of the type of questions that can be expected from probability and permutation-combination in the JEE Main exam, here are a few examples:

1. Find the probability of getting a sum of 7 when two dice are rolled.
2. In how many ways can the letters of the word "ENGINEERING" be arranged?
3. A committee of 4 members is to be formed from a group of 10 students. In how many ways can this be done?
4. A box contains 6 red, 4 green, and 5 blue balls. If 3 balls are drawn at random, what is the probability that at least 2 of them are red?

Conclusion
Probability and permutation-combination are important topics in the mathematics section of the JEE Main exam. Candidates should have a strong understanding of these concepts and be able to apply them to solving problems of varying difficulty levels. It is advisable to practice a wide range of questions from these topics to enhance problem-solving skills and increase the chances of scoring well in the exam.