A student takes a bus to school.
- The probability that the bus is late is \(\frac14\).
- If the bus is late, the probability that the student reaches school on time is \(\frac25\).
- If the bus is not late, the probability that the student reaches school on time is \(\frac9{10}\)
Complete this tree.
Find the probability that:
the bus is late but the student reaches school on time;
the student reaches school on time;
the student reaches school late.
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