4MA0 Foundation January 2015 Paper 2R Q11
11 Here are two fair spinners.
Shola spins each spinner once.
The score is the sum of the number spinner A lands on and the number spinner B lands on.
(a) Complete the table to show the possible scores.
(2)
| Spinner A \ Spinner B | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| 1 | ||||
| 2 | 6 | |||
| 3 | 5 | |||
| 4 | 7 |
(b) Find the probability that the score will be 3 or less. (2)
(c) Find the probability that the number spinner A lands on will be greater than the number spinner B lands on. (2)
| Scheme | Marks | |||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Answer: Correct table | B2 | |||||||||||||||||||||||||
| (2) |
Notes
B2: fully correct table
(B1 6 or more correct entries)
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{3}{16}\) oe | A1 |
| (2) |
Notes
M1: for \(\dfrac{n}{16}\) with \(0 \lt n \lt 16\) or for \(\dfrac{3}{m}\) with \(m \gt 3\)
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{6}{16}\) oe | A1 |
| (2) | |
| (6 marks) |
Notes
M1: all 6 cases identified (condone 1 error)