Higher June 2023 Paper 1 Q11
11 The Venn diagram represents 100 items.
(a) Write down \(\quad \text{P}(\text{A} \cap \text{B})\) [1 mark]
(b) Work out \(\quad \text{P}(\text{A}')\) [1 mark]
(c) Work out \(\quad \text{P}(\text{A} \cup \text{B})\) [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{13}{100}\) or 0.13 or 13% | B1 | oe fraction, decimal or percentage |
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{59}{100}\) or 0.59 or 59% | B1 | oe fraction, decimal or percentage SC1 answers 13 in (a) and 59 in (b) or \(\dfrac{13}{x}\) in (a) and \(\dfrac{59}{x}\) in (b) where \(x\) is an integer \(\geqslant 59\) |
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{89}{100}\) or 0.89 or 89% | B1 | oe fraction, decimal or percentage SC1 answers 13 in (a) and 89 in (c) or \(\dfrac{13}{x}\) in (a) and \(\dfrac{89}{x}\) in (c), where \(x\) is an integer \(\geqslant 89\) or answers 59 in (b) and 89 in (c) or \(\dfrac{59}{x}\) in (b) and \(\dfrac{89}{x}\) in (c), where \(x\) is an integer \(\geqslant 89\) |
Additional guidance
13 in (a) and 59 in (b) and 89 in (c) scores 0, SC1, SC1