Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

George uses a fair $5$-sided spinner whose faces are labelled $1, 2, 3, 4, 5$. He spins it and records the number shown on the face where it comes to rest.
(a)[2]

Find the probability that George takes fewer than $7$ spins to get a $5$.

(b)[3]

George spins the spinner $10$ times. Find the probability that he gets a $5$ more than $4$ times but fewer than $8$ times.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct complement method, for example $P(X<7)=1-0.8^6$ (or an equivalent summation).

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