Q16Multiple correct3 Marks1 Dec 2024

Which of the following options is/are correct?

A

If events $A$ and $B$ are disjoint, then $P(A\cup B)=P(A)+P(B)$.

B

If events $A$ and $B$ are independent, then $P(A\cup B)=P(A)+P(B)$.

C

If events $A$ and $B$ are independent, then $P(A\cap B)=P(A)\times P(B)$.

D

If events $A$ and $B$ are independent, then events $A^c$ and $B^c$ are not independent.

E

If events $A$ and $B$ are independent, then events $A^c$ and $B^c$ are independent.