(i)[2]
Find the probability of event $R$.
(ii)[2]
Find the probability of event $S$.
(iii)[3]
Determine whether events $R$ and $S$ are independent, and justify your answer.
Mathematics 9709 · AS & A Level · Continuous random variables
Continuous random variables — practice question
A fair eight-sided die is numbered $1, 2, 3, 4, 5, 6, 7, 8$ on its faces. When the die is rolled, the score is the number showing on the face it lands on. The die is rolled twice. Event $R$ is ‘one score is exactly $3$ greater than the other score’. Event $S$ is ‘the product of the scores is more than $19$’.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “List at least four valid outcomes for $R$, or show the possibility space” …
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