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

Exam questions on Mutually exclusive and independent events

1. Events $A$ and $B$ are mutually exclusive, with $P(A)=0.4$ and $P(B)=0.35$.
   Determine whether $A$ and $B$ are independent.2 marks
2. Events $A$ and $B$ are independent, with $P(A)=0.6$ and $P(B)=0.5$.
   Find $P(A'\cap B)$.2 marks
3. A factory has two machines, $X$ and $Y$. An item from $X$ is defective with probability $0.04$ and an item from $Y$ is defective with probability $0.06$, independently of each other. A pair consists of one item from each machine.
   Find the probability that exactly one item in a pair is defective.3 marks