Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

For Anya’s journey to school, the chance that she walks is $0.3$ and the chance that she cycles is $0.65$; if she neither walks nor cycles she takes the bus. If Anya walks, the chance that she is late is $0.15$. If she cycles, the chance that she is late is $0.1$, and if she takes the bus, the chance that she is late is $0.6$.
(main)[5]

Knowing that Anya is late, find the probability that she cycles.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply $P(C\mid L)=\dfrac{P(C\cap L)}{P(L)}$

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