## Karnataka class 11 commerce maths Probability

**Karnataka class 11 commerce maths Probability:-**

For getting success in Pre University Course, that is an intermediate course conducted by various state education boards in India, are required to understand the Exam pattern and types of questions. Department of University Education, Karnataka releases the Exam time table in month of November and March every year.

The state of Karnataka through Department of University Education, Karnataka is liable for organizing PUC board exams in PUC II for university admissions, so for your exam preparation we are providing you the 1st and 2nd PUC question Paper in following section:

Pre-University College (PUC) is the most popular option after Class 10. Before deciding on which stream to choose in PUC, a student must know the following facts:

- PUC is a 2-year course with 1 Major Board Exam at the end of the second year PUC/12th.
- Every student must study 4 core subjects in each branch along with 1st language—English & 2nd language (Kannada / Sanskrit / Hindi / Urdu / Tamil / Telugu / Malayalam / Marathi / French / German / Arabic ).
- Options in Arts/Humanities—History, Geography, Sociology, Political Science, Psychology, Education, Logic, Home Science, Optional Kannada, Karnataka Music & Hindustani Music, etc.
- Options in Commerce—History, Economics, Business Studies, Accountancy, Computer Science, Geography, Statistics & Basic Maths.
- Options in Science—Physics, Chemistry, Mathematics, Biology, Electronics, Computer Science, Home Science & Geology

### Karnataka class 11 commerce maths Probability

**Flexible Combinations**

- If you don’t like to study Biology, you can pursue PCME (Electronics) or PCMCs ( Computer Science) or PCMG (Geology). This makes you eligible for career in Engineering Stream.
- If you don’t like to study Mathematics, you can pursue PCBH ( Home Science ) or PCBS ( Statistics).
- This is apt for students focused on medicine and who find it difficult to cope up with mathematics.

### Karnataka class 11 commerce maths Probability

**Main subjects in class 11 & 12**

In India, Commerce is possibly the most popular academic stream for students.

The main subjects that are covered in the Commerce stream in Class 11 and 12 are:

- Accountancy
- Economics
- Business Studies
- Mathematics
- Informatics Practices
- English

Mathematics is not just a subject that is restricted to the four walls of a classroom. Its philosophy and applications are to be looked for in the daily course of our life. The knowledge of mathematics is essential for us, to explore and practice in a variety of fields like business administration, banking, stock exchange and in science and engineering.

### Karnataka class 11 commerce maths Probability

#### Complete Description of Probability

**Unit VI: Probability**

Conditional probability – definition, properties, problems. Multiplication theorem, independent events, Baye’s theorem, theorem of total probability and problems. Probability distribution of a random variable-definition of a random variable, probability distribution of random variable, Mean , variance of a random variable and problems. Bernoulli trials and Binomial distribution: Definition of Bernoulli trial, binomial distribution, conditions for Binomial distribution, and simple problems.

**You can download the solutions for Chapter Probability from the below link**

**For other chapters of maths class XI Commerce refer following links**

**Chapter 2- Relations and Functions**

**Chapter 3- Trigonometric Functions**

**Chapter 4- Principle of Mathematical Induction**

**Chapter 5- Complex Numbers and Quadratic Equations**

**Chapter 7- Permutations and Combinations**

**Chapter 12- Introduction to Three Dimensional Geometry**

**Chapter 13-Limits and Derivatives**

**Chapter 14- Mathematical Reasoning**

#### Karnataka class 11 commerce maths Probability

**Syllabus**

**UNIT I: SETS AND FUNCTIONS**

1. . Sets

2. Relations and Functions

3. Trigonometric Functions

**UNIT II : ALGEBRA**

1. Principle of Mathematical Induction

2. Complex Numbers and Quadratic Equations

3. Linear Inequalities

4. Permutations and Combinations

5. Binomial Theorem

6. Sequence and Series

**UNIT III : COORDINATE GEOMETRY**

1. Straight Lines

2. Conic Section

3. Introduction to Three-dimensional Geometry

**UNIT IV : CALCULUS**

Limits and Derivatives

#### UNIT V: MATHEMATICAL REASONING

**UNIT VI : STATISTICS AND PROBABILITY**

1. Statistics

2. Probability

#### Karnataka class 11 commerce maths Probability

**III. Weightage to content**

Chapter No. | Content | No. of Teaching Hours | Marks |

1 | SETS | 8 | 8 |

2 | RELATIONS AND FUNCTIONS | 10 | 11 |

3 | TRIGONOMETRIC FUNCTIONS | 18 | 19 |

4 | PRINCIPLE OF MATHEMATICAL INDUCTION | 4 | 5 |

5 | COMPLEX NUMBERS AND QUADRATIC EQUATIONS | 8 | 9 |

6 | LINEAR INEQUALITIES | 8 | 7 |

7 | PERMUTATION AND COMBINATION | 9 | 9 |

8 | BINOMIAL THEOREM | 7 | 8 |

9 | SEQUENCE AND SERIES | 9 | 11 |

10 | STRAIGHT LINES | 10 | 10 |

11 | CONIC SECTIONS | 9 | 9 |

12 | INTRODUCTION TO 3D GEOMETRY | 5 | 7 |

13 | LIMITS AND DERIVATIVES | 14 | 15 |

14 | MATHEMATICAL REASONING | 6 | 6 |

15 | STATISTICS | 7 | 7 |

16 | PROBABILITY | 8 | 9 |

TOTAL | 140 | 150 |

#### Karnataka class 11 commerce maths Probability

Mathematics, one of the most scoring subjects. For all those nervous about the of Mathematics paper, here’s a list of tips and tricks by **CAKART**

**For Preparations:**

- Plan well. Study different topics according to their difficulty levels;

- Make a list of all Maths formulae and keep it on your study table for repetitive revision;

- Self study (Do lots of practice to achieve proficiency in Maths);

- Try to solve Karnataka practice papers and sample papers within three hours (time management is must);

- If finding difficulty in solving problems of a particular topic, give thorough revision to that specific topic and take help from your teacher;

- Sleep well on the night before the exam to keep the mind and body relaxed.

**On the day of exam:**

- Review all the formulae and important topics early in the morning;

- Be confident and keep a positive attitude

**During Exam:**

- In the first 15 minutes allotted as reading time, wisely select the appropriate question to be solved in which internal choices have been provided to avoid wastage of time later;

- Write neatly with proper margins (presentation matters too);

- Do not get stuck to a question for a long time, if unable to solve, leave space for it and move on to the next question;

- Even if the complete solution to a particular question is not known, try to write till the known steps;

- Leave at least 10 minutes for revision of answer sheets.

#### Karnataka class 11 commerce maths Probability

Students who completed class 11 and entering into class 12 they can download complete karnataka class 12 commerce maths syllabus by following the steps below:

1. Go to website http://www.kar.nic.in/pue/home.asp

2. Click on Syllabus & Text book Tab

3. You will to directed to a new page showing puc 1 and puc 2

4. Select PUC 2 Syllabus and the subject which you want to know the syllabus

### Karnataka class 11 commerce maths Probability

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