Higher June 2018 Paper 2 Q8
8 60 people were asked if they prefer to go on holiday in Britain or in Spain or in Italy.
38 of the people were male.
11 of the 32 people who said Britain were female.
8 males said Italy.
12 people said Spain.
One of the females is chosen at random.
What is the probability that this female said Spain? (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{3}{22}\) | P1 | for a process to find a first value eg male/Britain = \(32 - 11\) (=21) or Italy/total = \(60 - (32 + 12)\) (=16) or female/total = \(60 - 38\) (=22) |
| P1 | for process to find a secondary value, eg male/Spain = \(38 - (\text{``}21\text{''} + 8)\) (=9) or female/Italy = \(\text{``}16\text{''} - 8\) (=8) | |
| P1 | complete process to find female/Spain, eg \(12 - \text{``}9\text{''}\) or \(\text{``}22\text{''} - (11 + \text{``}8\text{''})\) (=3) | |
| A1 | oe accept 0.136 to 0.14 SC B3 for \(\dfrac{3}{60}\) |
Additional guidance
| Br | Sp | It | Tot | |
|---|---|---|---|---|
| M | 21 | 9 | 8 | 38 |
| F | 11 | 3 | 8 | 22 |
| Tot | 32 | 12 | 16 | 60 |
May be seen in a frequency tree
Values attributed to a category or from method seen