Foundation June 2023 Paper 2 Q12
12 Sasha is trying to remember a 4-digit pin number.
Sasha knows it has the following digits and that the first digit is 9.
\[\boxed{9} \qquad \boxed{3} \qquad \boxed{2} \qquad \boxed{7}\](a) Write down all of the possible orders for Sasha’s 4-digit pin number. [2]
(b) Sasha tries one of these orders at random.
Write down the probability that the last digit of the pin number that Sasha tries is 2. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 9 3 2 7 9 3 7 2 9 7 3 2 9 7 2 3 9 2 3 7 9 2 7 3 | 2 | B1 for at least 5 out of 6 correct with maximum 1 repeat/extra or for 4 out of 6 correct (no repeats/extras) | If 9 3 2 7 is omitted allow 2 marks for 5 correct or B1 for at least 4 out of 5 correct with maximum 1 repeat/extra or for 3 out of 5 correct (no repeats/extras) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\dfrac{2}{6}\) oe | 1 | FT their (a) | Mark to candidate’s advantage. Allow for FT either their total written combinations or their combinations including the given combination. Allow 0.33 [3….] or 33.[3….]% Do not accept ratio or words isw attempts to convert to decimals or percentages when acceptable fraction seen |