1MA0 Foundation June 2015 Paper 2 Q22
22 Uditi has a bag of chocolate sweets.
There are 30 sweets in the bag.
This table shows the types of sweets in the bag.
| Strawberry | Caramel | Nut | |
|---|---|---|---|
| Dark chocolate | 3 | 1 | 6 |
| Milk chocolate | 4 | 5 | 2 |
| White chocolate | 1 | 4 | 4 |
Uditi takes at random a sweet from the bag.
(a) Write down the probability that the sweet is a dark chocolate caramel. (1)
(b) Work out the probability that the sweet is a white chocolate. (2)
There are some dark chocolates, some milk chocolates and some white chocolates in a box.
The table below shows the probabilities that a chocolate taken at random from the box is a dark chocolate or is a milk chocolate.
| Dark chocolate | Milk chocolate | White chocolate | |
|---|---|---|---|
| Probability | 0.35 | 0.17 |
A chocolate is taken at random from the box.
(c) Work out the probability that the chocolate is a white chocolate. (2)
| Answer | Mark | Notes |
|---|---|---|
| \(\dfrac{1}{30}\) | 1 | B1 oe |
| Answer | Mark | Notes |
|---|---|---|
| \(\dfrac{3}{10}\) | 2 | M1 for method to sum number of white chocolates, eg \(4 + 4 + 1\) (= 9) A1 \(\tfrac{3}{10}\) or \(\tfrac{9}{30}\) oe |
| Answer | Mark | Notes |
|---|---|---|
| 0.48 | 2 | M1 for \(1 - (0.35 + 0.17)\) oe A1 0.48 oe |