Foundation November 2023 Paper 3 Q11
11 Gabi records the number of times a biased six-sided dice lands on each of its numbers.
(a) Complete the table to show the relative frequencies.
| Number on the dice | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 10 | 21 | 7 | 4 | 3 | 5 |
| Relative frequency | 0.06 | 0.10 |
[2]
(b) Use Gabi’s results to estimate the probability that the spinner lands on 5 or 6. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 0.2, 0.42, 0.14, 0.08 | 2 | B1 for 3 correct values or [total =] 50 seen | Condone missing/added non-essential zeros throughout e.g. .20 for 0.2 50 may be seen in part (b) even as denominator or implied by \(\frac{4}{25}\) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 0.16 oe | 2 | M1 for 0.06 + 0.10 oe or \(\dfrac{3 + 5}{10 + 21 + 7 + 4 + 3 + 5}\) oe | No FT Accept equivalent fraction e.g. \(\frac{8}{50}\) or 16% for 2 marks Ignore attempts to cancel or change form once correct answer seen |