Higher November 2017 Paper 4 Q8
8 Diners choose one starter and one main from the options given in the table below.
Vegetarian dishes are indicated with a (v).
| Starter | Main |
|---|---|
| Cheese salad (v) | Steak and chips |
| Prawn cocktail | Fish and chips |
| Mozzarella sticks (v) | Tomato pizza (v) |
| Pork chops | |
| Nut cutlet (v) |
(a) Work out the fraction of all the meal combinations which have at least one vegetarian option. [3]
(b) Diners also choose one of 6 dessert options.
How many different three-course meal combinations are available? [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\dfrac{12}{15}\) oe | 3 | M1 for 15 [options] or indicating 15 M1 for 12 or indicating 12 | this could be the product rule, table, listing or implied by answer of \(\frac{n}{15}\) or \(\frac{12}{m}\) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 90 | 2FT | FT their(a) for 2 marks M1 for their(3 × 5) × 6 | ie their total number of options × 6 |