Mathematics

Problem

If for two events

E

and

A

with

P(A)>0

it is found that

P(E\mid A)=P(E)

, which of the following statements is correct? a) Event

A

implies that

E

must occur. b) Events

E

and

A

are mutually exclusive. c) Events

E

and

A

are independent. d) Event

A

is certain

(P(A)=1)