Intermediate November 2020 Unit 2 Q8
8. Each of 30 students studies German, Spanish or both languages.
A student is chosen at random.
The probability that the student studies both German and Spanish is \(\dfrac{1}{3}\).
Complete the Venn diagram. [2]

| Scheme | Marks | Comments |
|---|---|---|
| [n(G ∩ S) =] 10 | B1 | Entries must be whole numbers. |
| [n(S) =] 13 | B1 | [n(Ɛ)] must be 30 (i.e. no additional ‘non-Spanish’). Any blank space to be taken as 0. |
Corrected by Westie's Workshop
- The board's mark scheme printed “Entries must be a whole numbers.”. Changed to “Entries must be whole numbers.” because “numbers” is plural, so “a” should not be there.
Original: see the board's mark scheme PDF (link above).