Higher November 2023 Paper 2 Q21
21 Vicky has a collection of medals.
The Venn diagram gives information about the number of medals in her collection where
\(\mathscr{E}\) = {all medals}
\(A\) = {English medals}
\(B\) = {gold medals}
Vicky is going to take at random a medal from her collection.
Given that the medal is gold, the probability that the medal is English is \(\dfrac{2}{11}\)
Work out the number of medals in Vicky’s collection. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 98 | P1 | for (total number of gold \(=\)) \(6x - 3\) |
| P1 | for forming an equation, eg \(\dfrac{x}{6x - 3} = \dfrac{2}{11}\) | |
| P1 | (dep on P2) for correct substitution of their value into all expressions, eg \(7 \times \text{``}6\text{''} - 11 + \text{``}6\text{''} + 5 \times \text{``}6\text{''} - 3\ (= 64)\) | |
| A1 | 98 |