8. All the members of a farming club visited the Royal Welsh Agricultural Show. They all travelled to the show either by bus or by car. None of them visited the show on more than one day. The decision to travel by car or by bus was independent of the day of the visit.
A member of the club was selected at random. The probability that this member travelled by bus was 0·87. The probability that this member visited the show on the first day was \(\dfrac{2}{3}\).
(a) Complete the tree diagram shown below. [2]
(b) What is the probability that a member, chosen at random, was not one of those who travelled by bus on the first day of the show? [3]
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