Let , and . Which statement about the independence of and is…

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

Let

P(A)=0.4

P(B)=0.5

and

P(A\cap B)=0.2

. Which statement about the independence of

A

and

B

is correct? (a) Not independent, because independent events must have

P(A\cap B)=0

(b) Not independent, because

0.4\times0.5=0.45\neq0.2

0.4\times0.5=0.2

(d) Cannot be decided from the given data