(a)[3]
Determine the probability that a score of $17$ or more is first obtained on the $6$th throw.
(b)[2]
Determine the probability that a score of $17$ or more is obtained in fewer than $8$ throws.
Mathematics 9709 · AS & A Level · Discrete random variables
Discrete random variables — practice question
Three fair $6$-sided dice, with faces labelled $1, 2, 3, 4, 5, 6$, are thrown together repeatedly. For each throw, the score is the total of the numbers showing on the upper faces.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Recognising $P(17 \text{ or } 18)=\dfrac{4}{216}=\dfrac{1}{54}$” …
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