Higher June 2024 Paper 3 Q16
16 Jing rolls a fair six-sided dice 72 times.
| 1 | 2 | 3 | 4 | 5 | 6 | |
|---|---|---|---|---|---|---|
| Frequency | 16 | 11 | 10 | 8 | 14 | 13 |
Is the relative frequency of rolling a 5 greater than the theoretical probability?
Tick a box.
- Yes
- No
Give a reason for your answer. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{1}{6}\) or 0.16(6…) or 0.167 or 0.17 | M1 | oe theoretical probability |
| \(\dfrac{14}{72}\) or 0.19(4…) | M1 | oe relative frequency |
| Yes and both values in comparable formats | A1 | eg \(\dfrac{12}{72}\) and \(\dfrac{14}{72}\) or \(\dfrac{6}{36}\) and \(\dfrac{7}{36}\) or 0.16(6…) or 0.167 or 0.17 and 0.19(4…) SC1 Yes and 12 seen |