Higher November 2018 Paper 2 Q1
1 \(\mathscr{E} = \{\text{even numbers between 1 and 25}\}\)
\(A = \{2, 8, 10, 14\}\)
\(B = \{6, 8, 20\}\)
\(C = \{8, 18, 20, 22\}\)
(a) Complete the Venn diagram for this information.
A number is chosen at random from \(\mathscr{E}\).
(b) Find the probability that the number is a member of \(A \cap B\). (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| Venn diagram | C4 | fully correct Venn diagram |
| (C3 | 7 of the 8 regions correct or for a diagram with only one number incorrectly placed) | |
| (C2 | 5 or 6 of the 8 regions correct) | |
| (C1 | 3 or 4 of the 8 regions correct) |
Additional guidance
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{1}{12}\) | M1 | ft for identification of 1 or 12 eg from the diagram |
| A1 | ft oe |
Additional guidance
Need not be written as a fraction or probability at this stage. eg could be a ratio 1:12
Acceptable equivalents are (eg, could ft) any fraction equivalent to \(\dfrac{1}{12}\), 0.08(33..) or 8(.33..)%