4MA0 Foundation June 2016 Paper 2 Q10
10 Amit has two fair spinners, spinner A and spinner B.
Spinner A has three sections, numbered 1, 2 and 4
Spinner B has four sections, numbered 1, 2, 3 and 5
Amit spins each spinner once.
He adds together the number that spinner A lands on and the number that spinner B lands on to find the total.
(a) Complete the table to show all possible totals.
Four totals have been done for you.
(2)
Four totals have been done for you.
| 1 | 2 | 3 | 5 | |
|---|---|---|---|---|
| 1 | 2 | 3 | ||
| 2 | 5 | |||
| 4 | 9 |
(b) Find the probability that the total is
(i) 5
(ii) an even number.
(2)| Scheme | Marks |
|---|---|
| 2, 3, 4, 6 3, 4, 5, 7 5, 6, 7, 9 | B2 |
| (2) |
Notes
B2: For all eight entries correct
If not B2 then B1 for five, six, or seven entries correct.
| Scheme | Marks |
|---|---|
| (i) \(\dfrac{2}{12}\) | B1ft |
| (ii) \(\dfrac{5}{12}\) | B1ft |
| (2) |
Notes
B1ft: \(\dfrac{2}{12}\) oe ft from a complete table
Accept 0.16(666...) rounded or truncated to at least 2 dp
B1ft: \(\dfrac{5}{12}\) ft from a complete table
Accept 0.41(666...) rounded or truncated to at least 2 dp