On a randomly chosen day the probability that Bill travels to school by car, by bicycle or on foot is 12\displaystyle \frac{1}{2}21, 16\displaystyle \frac{1}{6}61 and 13\displaystyle \frac{1}{3}31 respectively. The probability of being late when using these methods of travel is 15\displaystyle \frac{1}{5}51, 25\displaystyle \frac{2}{5}52 and 110\displaystyle \frac{1}{10}101 respectively.
Draw a tree diagram to represent this information.
Find the probability that on a randomly chosen day
(i) Bill travels by foot and is late,
(ii) Bill is not late.
Given that Bill is late, find the probability that he did not travel on foot.
Practise Edexcel A Level Old Maths Probability with exam-style questions for A Level Old Maths. 11 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.