Challenging Questions

Mathematics – Compulsory Part

Learning Unit: More about probability

Question M0-16-09

In a school, \(\frac{1}{8}\) of the students travel by bus, \(\frac{3}{8}\) by car, and the remaining students walk to school. The probabilities of being late are as follows:

• \(\frac{1}{3}\) for students traveling by bus,
• \(\frac{2}{5}\) for those traveling by car, and
• \(\frac{1}{4}\) for those walking.

1. Calculate the probability that a randomly chosen student will be late.
2. If a student is late, determine the probability that they walked to school.

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