Higher June 2019 Unit 1 Q8
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]

(b) Calculate the probability that Leah does not go on a tour bus and does not see a show at the Millennium Centre. [2]
| Scheme | Marks | Comments |
|---|---|---|
| 0·7 shown for ‘Does not go on tour bus’. | B1 | |
| Use of 0·3 × …… = 0·24 | M1 | |
| P(sees show) = 0.8 | A1 | Allow M1A1 if 0·8 seen on one of the ‘sees show’ branches. |
| Second set of branches 0·8, 0·2, 0·8, 0·2 | A1 | FT ‘their 0·8’ only if M1 awarded. (0·24, 0·76, 0·24, 0·76 is M0A0A0) |
| Scheme | Marks | Comments |
|---|---|---|
| 0·7 × 0·2 | M1 | FT ‘their values’ if both between 0 and 1. |
| = 0·14 ISW | A1 |