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Write down an equation in $x$ and use it to determine $x$.
Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
In a box, Jameel has $5$ plums and $3$ apricots. In a box, Rosa has $x$ plums and $6$ apricots. One fruit is picked at random from Jameel’s box and one fruit is picked at random from Rosa’s box. The probability that the two fruits picked are both plums is $\frac{1}{4}$.
Worked solution & mark scheme
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Sets up the equation $\frac{5}{8}\cdot\frac{x}{x+6}=\frac{1}{4}$” …
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