428 Slices
Medium 9788131807781


N.P.Bali; P.N.Gupta; Dr C.P.Gandhi Laxmi Publications PDF


Bayes� Theorem and its Applications


Let there be two or more urns, each containing some white balls and red balls. Suppose an urn is chosen at random and a ball is drawn from that chosen urn. By using addition theorem and multiplication theorem, we can find out the probability of drawing a white ball

(or a red ball) from the urn chosen.

But in case, we are given that the ball drawn is white and we are interested in finding the probability of the event that the ball was drawn from the first urn or the second urn, then the situation is not same as in the previous case. Now the probability of urn drawn will depend upon the colour of the ball drawn.

To tackle this type of problems, Bayes� theorem is used. This theorem was enunciated by British mathematician Thomos Bayes in 1763.


(P.T.U., M.B.A. DEC., 2009, 2012)

Statement. Let E1, E2, ........, En be n mutually exclusive and exhaustive events, with non-zero probabilities, of a random experiment. If A be any arbitrary event of the sample space of the above experiment which occurs with E1 or E2 or ...... or En and P(A) > 0, then

See All Chapters
Medium 9781576336922

Square Roots and Powers: PSAT Arithmetic

Ace Academics Ace Academics ePub
Medium 9781576336397

Simple Equations: GED Algebra

Ace Academics Ace Academics ePub
Medium 9781576337370

Polynomials: CLEP Algebra II

Ace Academics Ace Academics ePub
Medium 9781576336571

Exponents: GRE Algebra

Ace Academics Ace Academics ePub

See All Slices