Foundation June 2024 Paper 2 Q18
18 Bag A and bag B contain counters.
| Bag A \(\dfrac{1}{4}\) are red The rest are blue | Bag B 3 are white 2 are green |
(a) Complete the tree diagram. [2 marks]
(b) One counter is taken at random from each bag.
Work out the probability that one is red and one is white. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{1}{4}\) (red) and \(\dfrac{3}{4}\) (blue) for Bag A | B1 | oe fractions, decimals or percentages |
| \(\dfrac{3}{5}\) (white) and \(\dfrac{2}{5}\) (green) for both sections for Bag B | B1 | oe fractions, decimals or percentages |
Additional guidance
Percentages must have the % symbol
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{1}{4} \times \dfrac{3}{5}\) | M1 | oe fractions, decimals or percentages correct or ft their tree diagram with both probabilities \(\gt 0\) and \(\lt 1\) |
| \(\dfrac{3}{20}\) or 0.15 or 15% | A1ft | correct or ft their tree diagram with both probabilities \(\gt 0\) and \(\lt 1\) |
Additional guidance
| Further work after correct answer seen | M1A0 |