Foundation January 2020 Paper 1R Q7
7 Mohsen is going to a party.
He will choose at random one shirt from the three shirts and one pair of trousers from the three pairs of trousers in the list below.
| Shirts | Trousers |
|---|---|
| Blue (B) | Green (G) |
| Red (R) | Orange (O) |
| Yellow (Y) | Purple (P) |
(a) Write down all the possible combinations that Mohsen can choose. (2)
(b) Find the probability that Mohsen chooses the red shirt to wear to the party. (1)
There are 20 counters in a bag.
4 of the counters are pink.
9 of the counters are white.
The rest of the counters are black.
Jean takes at random one counter from the bag.
(c) Work out the probability that Jean takes a black counter. (2)
| Scheme | Marks |
|---|---|
| BG, BO, BP, RG, RO, RP, YG, YO, YP | B2 |
| (2) |
Notes
B2: all 9 combinations given with no extras or repeats
(B1 at least 5 correct combinations given, condone repeats and incorrect combinations)
| Scheme | Marks |
|---|---|
| \(\dfrac{1}{3}\) | B1 |
| (1) |
Notes
B1: oe, ft from (a), accept 0.33(33…)
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{7}{20}\) | A1 |
| (2) | |
| (5 marks) |
Notes
M1: for \(\dfrac{7}{a}\) where \(a \gt 7\) or \(\dfrac{b}{20}\) where \(b \lt 20\)
A1: oe