Box $A$ has $6$ green balls together with $3$ yellow balls. Box $B$ has $4$ green balls and $x$ yellow balls. A ball is selected at random from box $A$ and transferred into box $B$. A ball is then selected at random from box $B$.
(a)[4]
Use a tree diagram to show this information, labelling each branch with its probability.
(b)[3]
Determine the value of $x$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct layout and probabilities for the Box A branches” …