Higher June 2024 Paper 2 Q16

EdexcelHigherCurrent spec7 marksSets

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

(a) Using this information, complete the Venn diagram to show the numbers of students in each subset.
Empty Venn diagram with three overlapping circles K, P and E inside a rectangle for the universal set
(3)

One of the students is chosen at random.

Given that this student chose photography,

(b) find the probability that this student also chose knitting. (2)
(c) Find \(\quad \mathrm{n}(P \cap K')\) (1)
(d) Find \(\quad \mathrm{n}([P \cup E] \cap K)\) (1)