Foundation June 2025 Paper 2 Q25
25 Casey plays two games of football.
In each game, the probability that Casey scores a goal is 0.3.
(a) Complete the tree diagram.
[2]
(b) Work out the probability that Casey scores in only one of the games. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Tree diagram correctly completed with probabilities 0.3 oe on all scores branches and 0.7 oe on all does not score branches | 2 | B1 for a correct pair of branches. or for 0.3 oe on all scores branches or for 0.7 oe on all does not score branches | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 0.42 oe | 3 | M2 for their 0.3 \(\times\) their 0.7 + their 0.7 \(\times\) their 0.3 oe or 1 – (their 0.3 \(\times\) their 0.3 + their 0.7 \(\times\) their 0.7) or M1 for their 0.3 \(\times\) their 0.7 or their 0.7 \(\times\) their 0.3 oe | isw attempted cancelling or conversion after correct answer seen Products may be given at the end of the branches in the tree diagram, however they must be used in final answer \(\dfrac{0.42}{1}\) scores M2 only For all FT marks their probabilities must be \(0 < p < 1\) |