Mathematics 9709 · AS & A Level · Probability

Probability — practice question

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

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