Higher June 2022 Paper 6 Q1
1 A student rolls two fair four-sided dice each numbered 1, 2, 3 and 4.
They add the two scores together.
(a) Complete the sample space diagram to show the possible outcomes from the dice.
| Total | Second dice | ||||
|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | ||
| First dice | 1 | 2 | |||
| 2 | |||||
| 3 | |||||
| 4 | 8 | ||||
[2]
(b) Find the probability that the student gets an even total. [1]
(c) Find the probability that the student gets the same score on each dice. [1]
| Answer | Marks | Part marks and guidance | ||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | B1 for at least 7 correct values | ||||||||||||||||||||||||||||||||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{8}{16}\) oe | 1FT | Isw if final answer comes from simplifying \(\frac{8}{16}\) Accept decimal, percentage with % but not ratio or “in” | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{4}{16}\) oe | 1FT | Isw if final answer comes from simplifying \(\frac{4}{16}\) Do not penalise ratio or “in” if already penalised in (b) | |