Which one of the following equalities gives the necessary and sufficient condition…

MATHEMATICS · Single correct · A Level · Mathematics · Probability · Probability

Problem

Which one of the following equalities gives the necessary and sufficient condition for two events

E

and

F

to be independent? (a)

P(E\cap F)=0

(b)

P(E\cap F)=P(E)\,P(F)

(c)

P(E\mid F)=P(E)

(d)

P(E)+P(F)=1