Marco has four boxes, labelled $K$, $L$, $M$ and $N$. He arranges them in a single row as $K$, $L$, $M$, $N$, with $K$ on the far left. Marco also has four coloured marbles: one red, one green, one white and one yellow. He puts one marble into each box, chosen at random. Events $A$ and $B$ are defined as follows:
$A$: The white marble is in box $L$ or box $M$.
$B$: The red marble lies to the left of both the green marble and the yellow marble.
(main)[3]
Determine whether events $A$ and $B$ are independent.
Worked solution & mark scheme
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The correct probabilities $P(A)=\frac{1}{2}$ and $P(B)=\frac{1}{3}$ are stated” …