Higher November 2023 Paper 2 Q15
15. Cody has a bag containing 8 red sweets and 9 green sweets.
Cody randomly selects one sweet at a time and eats it.
(a) Calculate the probability that the first two sweets Cody eats are red. [2]
(b) Calculate the probability that the first two sweets Cody eats are the same colour. [2]
| Scheme | Marks | Comments |
|---|---|---|
| \(\frac{8}{17} \times \frac{7}{16}\) | M1 | |
| \(= \frac{56}{272}\) or \(\frac{7}{34}\) oe | A1 | Allow 0.205 to 0.206 from correct working |
| Scheme | Marks | Comments |
|---|---|---|
| \(\frac{8}{17} \times \frac{7}{16} + \frac{9}{17} \times \frac{8}{16}\) | M1 | FT Their answer to (a) + \(\frac{9}{17} \times \frac{8}{16}\) |
| \(= \frac{128}{272}\) or \(\frac{8}{17}\) oe | A1 | Allow 0.47 or 0.471 from correct working |
| (4) |