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 :
Answer & explanation
Correct answer: option 4
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