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Higher November 2016 Unit 1 Q7

WJECHigherCurrent spec6 marksTree Diagrams

7. Alwyn often drives from Bangor to Cardiff.
He always chooses one of two routes for these journeys.
He either travels through Rhayader or through Hereford.
The probability that he travels through Rhayader is 0·7.

Sometimes he decides to stop for a break during his journey.
His decision is independent of the route he takes.

The probability that he travels through Rhayader and stops for a break is 0·42.

(a) Complete the following tree diagram. [4]
Tree diagram: Route (Rhayader 0·7, Hereford blank), then Stops for a break (Yes/No, all blank)
(b) Calculate the probability that Alwyn travels through Hereford but does not stop for a break. [2]
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