If A and B are independent events, then

A. 'not A' and 'not B' are independent

B. A and 'not B' are independent

C. 'not A' and B are not independent

D. P(A ∪ B)= P(A) + P(B)

E. P(A ∩ B) = P(A). P(B)

Choose the correct answer from the options given below :

A, B and E only

The correct answer is Option (4) → A, B and E only

A and B are independent events

$\overline A,\overline B$ independence

$\overline A,B$ independent

$A,\overline B$ independent as well

so $P(A ∩ B) = P(A)P(B)$

$P(A ∪ B)= P(A) + P(B)-P(A)P(B)$

⇒ Only A, B and E correct