Mathematics 0580 · IGCSE · Probability of combined events

Probability of combined events — practice question

The chance that it will rain tomorrow is $\frac{5}{8}$. Provided that it rains, the chance that Rafael goes to school on foot is $\frac{1}{6}$. When it does not rain, the chance that Rafael walks to school is $\frac{7}{10}$. The diagram shown is a tree diagram, with branches marked Rains / Does not rain and Walks / Does not walk, and the probabilities are left to be filled in.
(a)[3]

Finish the tree diagram.

(b)[2]

Calculate the probability that it will rain tomorrow and Rafael walks to school.

(c)[3]

Calculate the probability that Rafael does not walk to school.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: So, $\dfrac{5}{8}, \dfrac{3}{8}$.

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