Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

Nicola rolls a fair ordinary six-sided dice. The random variable $X$ represents how many throws she needs to obtain a 6.
(a)[2]

Find the value of $P(X < 8)$.

(b)[2]

Find the probability that Nicola gets a 6 for the second time on her 8th throw.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies $P(X<8)=1-\left(\frac{5}{6}\right)^7$ or a matching method

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