Let and be events forming a partition of the sample space with and

MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability

Problem

Let

E_1

and

E_2

be events forming a partition of the sample space with

P(E_1)=p

and

P(E_2)=1-p

. For another event

A

, it is known that

P(A\mid E_1)=0.7

P(A\mid E_2)=0.4

and

P(A)=0.55

. Determine the value of

p