4MA0 Foundation June 2017 Paper 2R Q14
14 In a game, a fair dice is rolled once and a fair spinner is spun once.
The dice has dots showing 1, 2, 3, 4, 5 and 6
The spinner has three sections numbered 1, 2 and 3

The score is found by subtracting the smaller number from the larger number.
(a) Complete the sample space diagram to show all the possible scores.
Seven scores are shown for you.
(2)
Seven scores are shown for you.
| Dice | |||||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | ||
| Spinner | 1 | 0 | 1 | 2 | |||
| 2 | 1 | 0 | |||||
| 3 | 0 | 2 | |||||
Pau plays the game.
(b) Find the probability that his score is
(i) 5
(ii) 2 or 4
(2)| Scheme | Marks | ||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| B2 | ||||||||||||||||||||||||||||
| (2) |
Notes
B2: All entries correct or
B1 5 correct entries
| Scheme | Marks |
|---|---|
| (i) \(\dfrac{1}{18}\) | B1ft |
| (ii) \(\dfrac{6}{18}\) | B1ft |
| (2) | |
| (4 marks) |
Notes
B1ft: From complete table
Accept 0.055(555...) rounded or truncated to at least 3 dp
B1ft: oe From complete table
Eg \(\dfrac{1}{3}\)
Accept 0.33(333...) rounded to at least 2 dp