Events are defined on a sample space with ,

MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability

Problem

Events

E_1,E_2,E_3

are defined on a sample space

S

with

P(E_1)=0.35

P(E_2)=0.45

P(E_3)=0.20

and

E_i\cap E_j=\varnothing

for

i\neq j

. (i) State whether

\{E_1,E_2,E_3\}

forms a partition of

S

. (ii) Give one brief reason for your answer.