Intermediate June 2022 Unit 1 Q14
14. A and B are independent events.
The probability of event A occurring is 0·6.
The probability of event A and event B occurring is 0·48.
(a) Complete the tree diagram. [4]

(b) Calculate the probability of neither event A nor event B occurring. [2]
| Scheme | Marks | Comments |
|---|---|---|
| 0·4 shown on ‘A does not occur’ branch | B1 | |
| Use of 0·6 × ………… = 0·48 | M1 | |
| P(B occurs) = 0·8 | A1 | Allow M1A1 if 0·8 seen on one of the ‘B occurs’ branches. |
| Second set of branches 0·8, 0·2, 0·8, 0·2 | A1 | FT ‘their 0·8’ only if M1 awarded. (0·48, 0·52, 0·48, 0·52 is M0A0A0) |
| Scheme | Marks | Comments |
|---|---|---|
| 0·4 × 0·2 | M1 | FT ‘their 0·4’ × ‘their 0·2’ provided both between 0 and 1. |
| = 0·08 ISW | A1 |