Which of the following relations must hold for two events and to be independent?

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

Problem

Which of the following relations must hold for two events

E

and

F

to be independent? (a)

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

(b)

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

(c)

P(E\cup F)=P(E)P(F)

(d)

P(E\mid F)=\dfrac{P(E)}{P(F)}