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Higher June 2019 Unit 1 Q8

WJECHigherCurrent spec6 marksMultiple EventsTree Diagrams

8. Leah is visiting Cardiff.
The probability that she will go on a tour bus is 0·3.
The probability of Leah seeing a show at the Millennium Centre is independent of her going on a tour bus.

The probability that she goes on a tour bus and sees a show at the Millennium Centre is 0·24.

(a) Complete the following tree diagram. [4]
Tree diagram: first branches Goes on a tour bus (0.3) and Does not go on a tour bus (blank); each followed by Sees a show at Millennium Centre and Does not see a show at Millennium Centre, all blank
(b) Calculate the probability that Leah does not go on a tour bus and does not see a show at the Millennium Centre. [2]