Foundation June 2025 Paper 3 Q14
14 A box contains cards that are either red, blue, green or yellow.
| Colour | Red | Blue | Green | Yellow |
|---|---|---|---|---|
| Probability | 0.1 | 0.24 |
(a) P(green) = P(yellow)
Complete the table. [2 marks]
(b) There are 600 cards in the box.
How many cards are not blue? [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(1 - (0.1 + 0.24)\) or 0.66 or 0.33 | M1 | oe percentages or fractions |
| 0.33 and 0.33 | A1 | oe percentages or fractions |
| Answer | Mark | Comments |
|---|---|---|
| \(600 \times 0.24\) or 144 or \(1 - 0.24\) or 0.76 or 0.1 + their 0.33 + their 0.33 | M1 | oe their 0.33 from the table \(0 \lt\) their \(0.33 \lt 1\) |
| \(600 -\) their 144 or \(600 \times\) their 0.76 or \(600 \times 0.1 + 600 \times\) their \(0.33 + 600 \times\) their 0.33 | M1dep | oe |
| 456 | A1ft | ft their 0.33 |
Additional guidance
| their 0.33 are their two values for P(green) and P(yellow) from the table | |
| ft their 0.33 eg P(green) \(= 0.4\) and P(yellow) \(= 0.2\) \(0.7 \times 600 = 420\) | M1M1A1ft |