O-LevelMathematicsProbability4024/22 · Oct/Nov 2025 · Q195 Marks
A group of 22 students are asked if they study Economics (E) or History (H). The Venn diagram shows the results. [Figure 19]
- (a)Write down the number of students who study both Economics and History.[1]
- (b)Find n(E∩H').[1]
- (c)Three of the students from the group are selected at random. Find the probability that they all study History.[3]
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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] 5
- [1] 7
- [3] 3/55 oe. M2 for (9/22) × (8/21) × (7/20) oe or M1 for (9/22) oe decimal/% seen or for (9/k) × (k-1/k-1) × (k-2/k-2) or for (P/22) × (P-1/21) × (P-2/20)
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