4400 Higher June 2004 Paper 3 Q4
4 The diagram shows a pointer which spins about the centre of a fixed disc.
When the pointer is spun, it stops on one of the numbers 1, 2, 3 or 4.
The probability that it will stop on one of the numbers 1 to 3 is given in the table.
| Number | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Probability | 0.35 | 0.16 | 0.27 |
Magda is going to spin the pointer once.
(a) Work out the probability that the pointer will stop on 4. (2)
(b) Work out the probability that the pointer will stop on 1 or 3. (2)
Omar is going to spin the pointer 75 times.
(c) Work out an estimate for the number of times the pointer will stop on 2. (2)
| Scheme | Marks |
|---|---|
| 1 − (0.35 + 0.16 + 0.27) | M1 |
| 0.22 | A1 |
| (2) |
Notes
A1: oe
| Scheme | Marks |
|---|---|
| 0.35 + 0.27 | M1 |
| 0.62 | A1 |
| (2) |
Notes
A1: oe
| Scheme | Marks |
|---|---|
| \(0.16 \times 75\) | M1 |
| 12 | A1 |
| (2) | |
| (6 marks) |
Notes
A1: cao