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Find the probability that the coin shows a head, given that Jodie’s score is $8$.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
Jodie flips a biased coin and rolls two fair tetrahedral dice. The probability that the coin lands on a head is $\frac{1}{3}$. Each die has four faces, labelled $1, 2, 3$ and $4$. Jodie’s score is worked out from the numbers on the faces where the dice come to rest.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Writing $P(8)$ as $P(H4) + P(T2,4) + P(T4,2)$ or an equivalent form” …
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