Foundation June 2017 Paper 1 Q26
26. Twenty people go on a trip to the seaside.
Of these 20 people
- 13 swim in the sea
- 17 go to the funfair
- 2 do not swim in the sea or go to the funfair.
(a) 
Complete the Venn diagram below to show this information. [2]

One person is chosen at random.
(b) Find the probability that this person swims in the sea and goes to the funfair. [1]
(c) Find the probability that this person either swims in the sea or goes to the funfair, but does not do both. [2]
| Scheme | Marks | Comments |
|---|---|---|
![]() | B2 | B1 for 12 in intersection on Venn diagram or for any 2 correct entries |
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{12}{20}\) or equivalent | B1 | ISW FT ‘their 12’ provided ‘their 12’ < 20 |
| Scheme | Marks | Comments |
|---|---|---|
| 1 + 5 | M1 | FT ‘their 1’ + ‘their 5’ |
| \(\dfrac{6}{20}\) or equivalent | A1 | FT \(\dfrac{\text{‘their 6’}}{20}\) provided ‘their 6’ < 20 |
| (5) |
