Higher November 2019 Paper 1 Q20
20 The Venn diagram shows information about some houses.
G = houses with a garage
S = houses with a shed
A house is chosen at random.
(a) The house has a garage.
What is the probability that it has a shed? [1 mark]
(b) The house does not have a garage.
What is the probability that it does not have a shed? [1 mark]
(c) Show that \(\quad P(G \cap S)' > P(G \cup S')\) [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{8}{21}\) | B1 | oe fraction, decimal or percentage |
Additional guidance
| Ignore attempts to convert a correct fraction to a decimal or percentage | B1 |
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{4}{15}\) | B1 | oe fraction, decimal or percentage |
Additional guidance
| Ignore attempts to convert a correct fraction to a decimal or percentage | B1 |
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{28}{36}\) and \(\dfrac{25}{36}\) or 28 and 25 | B2 | oe fractions with common denominators, decimals or percentages B1 \(\dfrac{28}{36}\) or \(\dfrac{25}{36}\) or 13, 11 and 4 or 28 or 13, 8 and 4 or 25 or Venn diagrams drawn showing both correct regions |
Additional guidance
| 28 or 25 as a numerator with an incorrect denominator | B1 |