Higher November 2019 Paper 6 Q6
6 The table shows the children nominated to win the subject prize in Mathematics and the subject prize in English.
| Mathematics | English |
|---|---|
| Alice | Alice |
| Ben | Claire |
| Emma | Gabi |
| Paddy | Simon |
The winner of each subject prize is picked at random.
It is possible for Alice to win both prizes.
In what percentage of the combinations of prize winners does Alice win at least one prize? [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 43.75 or 43.8 | 4 | M3 for \(\frac{7}{16}\) [× 100] OR M1 for 16 correct combinations shown or for 4 × 4 [combinations] M1 for AA, AC, AG, AS, BA, EA, PA only or 7 [combinations involving Alice] identified Alternative method M3 for \(\frac{7}{16}\) [× 100] or M2 for 1 – ¾ × ¾ or ¼ + ¾ × ¼ or ¼ × ¼ + ¼ × ¾ + ¾ × ¼ or M1 for ¾ × ¾ or ¾ × ¼ or ¼ × ¼ | Accept 44 after correct method seen Implied by 16 or a denominator of 16 Allow [0].75 and [0].25 throughout soi by 9/16, 3/16 or 1/16 |