Higher November 2017 Paper 1 Q15
15
Meal Deal
Choose one sandwich, one drink and one snack
There are
7 different sandwiches
5 different drinks
and
3 different snacks.
(a) How many different Meal Deal combinations are there? [2 marks]
(b) Two of the sandwiches have cheese in them.
Three of the drinks are fizzy.
Eva picks a Meal Deal at random.
Work out the probability that the sandwich has cheese in it and the drink is fizzy.
Give your answer as a fraction. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(7 \times 5 \times 3\) | M1 | oe \(35 \times 3\) |
| 105 | A1 |
Additional guidance
| 105 given with further work | M1A0 |
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(\dfrac{2}{7} \times \dfrac{3}{5}\) or \(\dfrac{2 \times 3}{7 \times 5}\) | M1 | oe |
| \(\dfrac{6}{35}\) | A1 | oe |
| Alternative method 2 | ||
| \(\dfrac{2 \times 3 \times 3}{\text{their } 105}\) | M1 | their 105 from (a) |
| \(\dfrac{18}{\text{their } 105}\) or \(\dfrac{6}{35}\) | A1ft | oe ft their 105 from (a) if \(0 \lt\) probability \(\lt 1\) |
Additional guidance
| Ignore incorrect simplification or conversion after a correct fraction | M1A1 |
| \(\dfrac{2}{7} \times \dfrac{3}{5}\) or \(\dfrac{6}{35}\) with further work other than simplification or conversion | M1A0 |
| \(\dfrac{2}{7} + \dfrac{3}{5}\) | M0A0 |