(a)[2]
Determine the probability that it takes fewer than $6$ throws to obtain a $4$.
(b)[3]
At a different time, the die is rolled $10$ times. Determine the probability that a $4$ occurs at least $3$ times.
Mathematics 9709 · AS & A Level · Discrete random variables
Discrete random variables — practice question
A fair die with six faces labelled $1, 2, 3, 4, 5, 6$ is rolled again and again until a $4$ appears.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies $1 - \left(\frac{5}{6}\right)^5$ or an equivalent probability setup” …
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