Higher June 2024 Paper 2 Q16
16 60 art students were asked if they would like to attend workshops for knitting (\(K\)), for photography (\(P\)) or for embroidery (\(E\))
Of these students
9 chose knitting, photography and embroidery
17 chose knitting and photography
16 chose photography and embroidery
20 chose knitting and embroidery
28 chose photography
39 chose embroidery
2 chose none of the workshops

One of the students is chosen at random.
Given that this student chose photography,
| Scheme | Marks |
|---|---|
![]() Answer: Fully correct Venn diagram | B1 B2 |
| (3) |
Notes
B1
B2: B1 For 7 in just knitting
B2 For all 7 others correct (B1 for 4, 5 or 6 others correct)
| Scheme | Marks |
|---|---|
can either ft their Venn diagram or use values given in text Answer: \(\dfrac{17}{28}\) | B2 ft |
| (2) |
Notes
B2 ft: oe 0.61 or 61% or 0.607… or 60.7% or better
(B1ft for 17 as numerator or 28 as denominator in a fraction between 0 and 1)
only ft where regions in Venn diagram have numbers indicated
| Scheme | Marks |
|---|---|
| can either ft their Venn diagram or use values given in text Answer: 11 | B1ft |
| (1) |
Notes
B1ft: only ft where regions in Venn diagram have numbers indicated
| Scheme | Marks |
|---|---|
| can either ft their Venn diagram or use values given in text Answer: 28 | B1ft |
| (1) | |
| (7 marks) |
Notes
B1ft: only ft where regions in Venn diagram have numbers indicated
