What is Probability?
If S is the sample space of a random experiment, ‘E’ is any event, then probability of E is denoted by P(E) and is defined as P(E) = (Number of Simple Events in E / Total Number of Simple Events in S.) Note that, P(φ) = …
Category: Mathematics
Matrices EAMCET Part 2 – Homogeneous Equations and Non-Homogeneous System
Go here for Matrices EAMCET Part 1 Homogeneous Equations If the system is AX=0 and |A| ≠ 0 then the system has unique solution, that is the zero solution. |A| = 0 then the system has atleast 1 non-zero solution. In-fact the system has infinite number …
Matrices EAMCET – Part 1
Here are some of the most important points from matrices to be understood and remembered by EAMCET aspirants. Product of two upper triangular matrices is a upper triangular matrix. Determinant of triangular matrix is the product of the elements in the principle diagonal. (i) trace (KA) …
Some Important Determinants to be Remembered
Some Important Matrices Determinants to be Remembered for competitive exams:-
Proof of Addition Theorem on Probability Through Axiomatic Approach
According to Addition Theorem on Probability, for any two elements A, B P(A∪B) = P(A) + P(B) – P(A∩B) Addition Theorem on Probability Proof :- Expressing A∪B as the union of two mutually exclusive events we get(A∪B) = A ∪ (B-A)P(A∪B) = P(A ∪ (B-A)) By …