Mathematics 9709 · AS & A Level · Linear combinations of random variables

Linear combinations of random variables — practice question

A fair six-sided die is rolled two times, and the outcomes are recorded. Event $X$ is defined as ‘The sum of the two scores is 4’. Event $Y$ is defined as ‘The first score is 2 or 5’.
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Are events $X$ and $Y$ independent? Support your answer with a reason.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Therefore, $P(X)=\frac{3}{36}$.” …

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