(a)[3]
Find the probability that the score is $4$ on a single roll of the three dice.
(b)[3]
Find the probability that a score of $18$ is obtained for the first time on the $5$th throw of the three dice.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
Three unbiased six-sided dice, with faces labelled $1, 2, 3, 4, 5, 6$, are rolled together repeatedly. For one roll of the three dice, the score is the total of the values showing on the upper faces.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Recognises the possible outcomes (for example, the $1,1,2$ permutations)” …
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