4MA0 Higher January 2016 Paper 4R Q17

EdexcelHigherOld spec7 marksTree Diagrams

17 Chaiwat either cycles to work or goes by bus.
On any day that he goes to work, the probability that he cycles is 0.6
When he cycles, the probability that he is late is 0.1
When he goes by bus, the probability that he is late is 0.3

(a) Complete the probability tree diagram.
Probability tree: cycle 0.6 or bus; then late (0.1 after cycle) or not late; other branches blank
(2)
(b) Calculate the probability that on a day Chaiwat goes to work, he cycles and is late for work. (2)
(c) Calculate the probability that on a day Chaiwat goes to work, he is not late for work. (3)