F.Y B.A External - Kachchh University

K.S.K.V. KACHCHH UNIVERSITY 57
D) 1. PROBABILITY:
Random experiment involving tossing of coins, dice and drawing of cards etc. Definition
of sample space, events, equally likely events, mutually exclusive and exhaustive
events, Independences of events. Definition of probability (Mathematical, Statistical),
definition of conditional probability. Theorems of addition and multiplication of
probabilities (without proof). Simple example.
2. MATHEMATICAL EXPECTATION :
Concept of a discrete random variable, probability mass function of discrete random
variable and its properties, definition of mathematicalexpectation of a discrete random
variable, mean and variance (without proof) and simple examples
E) 1. DETERMINANTS :
Expansions of determinants upto 3rd order. Rules of determinants (without proof)
Cramer’s rule for solving linear equations in two variables.
2. MATRICES :
Definition of a matrix, types of matrices – rectangular, square, symmetric, diagonal
matrices, Addition, Subtraction and multiplication of the matrices upto third order
only. Inverse of matrix of order 2x2 only.