Mathematics 9709 · AS & A Level · Probability

Probability — practice question

Each day, Juan travels to college using one of three methods: car, bus, or walking. The probability that he travels by car is $0.2$, the probability that he travels by bus is $0.45$ and the probability that he walks is $0.35$. If Juan goes by car, the probability that he gets there early is $0.6$. If he goes by bus, the probability that he gets there early is $0.1$. If he walks, he always gets there early.
(a)[2]

Construct a fully labelled tree diagram to display this information.

(b)[4]

Find the probability that Juan goes to college by car given that he arrives early.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Completely correct labelled tree for transport method with correct probabilities.

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