To get to school, a student may walk, drive or travel by bus. Twenty per cent of the students  walk, 30% drive and 50% travel by bus. The probability that a student who walks will be late is 0.4 and a student who drives or travels by bus will be late is 0.20 and 0.35 respectively. a) Draw a tree diagram to illustrate this information showing the probability on EACH branch.  Calculate the probability that b) a student chosen at random will arrive late  c) a student traveled by bus given that they arrived late.

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4. To get to school, a student may walk, drive or travel by bus. Twenty per cent of the students 
walk, 30% drive and 50% travel by bus. The probability that a student who walks
will be late is 0.4 and a student who drives or travels by bus will be late is 0.20 and 0.35
respectively.
a) Draw a tree diagram to illustrate this information showing the probability on EACH branch. 

Calculate the probability that
b) a student chosen at random will arrive late 
c) a student traveled by bus given that they arrived late. 

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