Foundation November 2024 Paper 2 Q16
16 Aisha has two boxes of sweets, box A and box B.
In box A, there are only 10 red sweets and 30 green sweets.
In box B, there are only 7 red sweets and 18 green sweets.
Aisha is going to take at random a sweet from box A and a sweet from box B.
Which box gives Aisha the greater probability of taking a red sweet, box A or box B?
You must show how you get your answer. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| Box B and correct figures | P1 | for process to find one probability or proportion, eg \(\dfrac{10}{10 + 30}\left(= \dfrac{10}{40}\right)\) or \(\dfrac{7}{7 + 18}\left(= \dfrac{7}{25}\right)\) |
| P1 | (dep P1) for process to find figures to compare using a common format, eg \(10 \div [40]\ (= 0.25)\) and \(7 \div [25]\ (= 0.28)\) or \(10 \div [40] \times 100\ (= 25)\) and \(7 \div [25] \times 100\ (= 28)\) or \(\dfrac{10}{[40]} = \dfrac{25}{100}\) oe and \(\dfrac{7}{[25]} = \dfrac{28}{100}\) oe or \(\dfrac{10 \div 10}{[40] \div 10}\left(= \dfrac{1}{4}\right)\) and \(\dfrac{7 \div 7}{[25] \div 7}\left(= \dfrac{1}{3.57\ldots}\right)\) | |
| C1 | (dep on P2) for Box B and correct comparative figures, eg 0.25 and 0.28 or 25% and 28% |
Additional guidance
Accept 10 : 30 or 7 : 18
Accept eg 30 : 90 and 35 : 90
[40] is any value >10
[25] is any value >7 but one probability or proportion must be correct from previous P1
Comparative figures may be probabilities, ratios or comparative proportions
eg box A: 70R and 210G and
box B: 70R and 180G