Events and satisfy

MATHEMATICS · Single correct · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

Events

E

and

F

satisfy

P(E)=0.5

P(F)=0.4

and

P(E\cap F)=0.2

. Which one of the following statements is true? (a)

P(E\mid F)=0.4

(b)

E

and

F

are dependent because

0.5\times0.4=0.02\neq0.2

. (c)

E

and

F

are independent because

0.5\times0.4 = 0.2

. (d)

E

and

F

are mutually exclusive because

P(E)+P(F)=0.9>1