O-LevelMathematicsProbability4024/12 · Oct/Nov 2025 · Q125 Marks
Luca has these two fair spinners. [Figure: Spinner A with numbers 2, 4, 6, 8. Spinner B with numbers 1, 1, 3, 5]
- (a)(i)Complete the sample space diagram to show all the possible scores. [Table given: Spinner A (+ 2, 4, 6, 8), Spinner B (1, 1, 3, 5). Some cells filled, some empty][1]
- (a)(ii)Find the probability that Luca's score is greater than 10.[2]
- (b)Luca spins spinner A twice. He now multiplies the two numbers to find his score. Find the probability that his score is greater than 30.[2]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- [1] (a)(i) Spinner A: 2 4 6 8; Spinner B: 1 | 3 5 7 9; 1 | 3 5 7 9; 3 | 5 7 9 11; 5 | 7 9 11 13
- [2] (a)(ii) 3/16 oe
- [2] (a)(ii) FT their table
- [2] (a)(ii) B1 for (their 3)/k or k/16 dependent on fraction < 1
- [2] (b) 6/16 oe
- [2] (b) M1 for correct sample space diagram
- [2] (b) M1 for listing all six correct combinations
- [2] (b) M1 for identifying that there are six successful outcomes
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