Higher November 2023 Paper 1 Q16
16 The Venn diagram shows information about 80 people who visited an online shop.
\(\xi =\) 80 people
T = people who bought trainers
H = people who bought a hoodie
(a) One person is chosen at random.
Work out the probability that they bought a hoodie. [3 marks]
(b) One person who bought trainers is chosen at random.
Work out the probability that they bought a hoodie. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| \(2x + x + 15 + 8 = 80\) or \(3x + 23 = 80\) or \(80 - 15 - 8\) or 57 or \(\dfrac{x + 8}{80}\) or \(\dfrac{x + 8}{3x + 23}\) | M1 | oe implied by \(\dfrac{57}{80}\) |
| \((x =)\ \dfrac{80 - 15 - 8}{3}\) or \(\dfrac{57}{3}\) or 19 or 27 | M1dep | oe implied by \(\dfrac{19}{80}\) |
| \(\dfrac{27}{80}\) or 0.3375 or 33.75% | A1 | oe fraction, decimal or percentage |
Additional guidance
Ignore incorrect conversion after correct answer seen
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{8}{23}\) or 0.3478… or 34.78…% or 0.348 or 34.8% | B1 | oe fraction, decimal or percentage |
Additional guidance
Ignore incorrect conversion after correct answer seen