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) = …
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 …
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 …