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, $\dfrac{5}{8}, \dfrac{3}{8}$.” …