Higher November 2024 Paper 4 Q17
17 An app’s passcode consists of three digits. Each of the digits is a number from 0 to 9.
A digit can be used more than once.
Find the fraction of the possible passcodes that contain at least one 5. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{271}{1000}\) or 0.271 | 4 | B3 for 271 OR B2 for 1000 or 729 OR M1 for 10 × 10 × 10 or 9 × 9 × 9 | Accept any correct method e.g. M3 for 1 × 10 × 10 + 9 × 1 × 10 + 9 × 9 × 1 or 271 or M2 for two of these three terms correct or M1 for one of these three terms correct |