Mutually exclusive and independent eventsEdexcel A-Level Maths: Mind map

Exam questions on Mutually exclusive and independent events

1. Events $A$ and $B$ are mutually exclusive, with $P(A)=0.3$ and $P(B)=0.4$.
   Show that $A$ and $B$ are not independent.2 marks
2. Events $C$ and $D$ are independent, with $P(C)=0.6$ and $P(D)=0.25$.
   Find $P(C\mid D')$.2 marks
3. Events $A$ and $B$ are independent, with $P(A)=0.2$ and $P(A\cup B)=0.6$. Event $E$ is mutually exclusive with $A$ and also mutually exclusive with $B$, and $P(E)=0.3$.
   Find $P(B)$.3 marks