History or Geography: choosing the L2 oral under variance
A candidate in the 3-period Mathematics course must sit three oral papers: L1, L2, and either History or Geography taught through L2. The candidate's L2 is German. Predicted oral marks out of 20 are: L1 16, L2 12. For the third oral, the History department predicts 14 with a likely range of 13–15; the Geography department predicts 17 but with a range of 11–18 because German terminology for physical geography is shaky. The school requires each oral paper to be at least 10/20 and the oral total to be at least 40/60; a total below 40 triggers a diploma-board review. The candidate wants a final average above 60% for a university offer and has 10 study days left. History revision would take 3 days; Geography revision would take 7 days because of vocabulary, leaving less time for L1 and L2. The candidate's L1 and L2 oral predictions are stable. The timetable allows only one of History or Geography, not both.
1. Calculate the oral total under each choice using the predicted marks. Determine whether the school's minimum conditions are met in each case and identify the risk.
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L1 + L2 = 16 + 12 = 28.
History: 28 + 14 = 42. Each paper is at least 10 (16, 12, 14), and the total 42 is at least 40. The lower end of the History range, 13, gives 28 + 13 = 41, so the minimum conditions remain met even on the downside.
Geography: 28 + 17 = 45. Each paper is at least 10, and the total is at least 40. However, the lower end of the Geography range is 11, giving 28 + 11 = 39. That is below 40, so the total condition would not be met and a diploma-board review would be triggered. Each individual oral would still be at least 10, so this is not an automatic fail; it is a review risk.
The predicted totals both pass, but Geography has a downside that crosses the total threshold, while History does not.
2. Recommend which third oral the candidate should choose, using expected mark, downside risk, and study-time opportunity cost. Justify your recommendation.
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Geography has the higher expected total: 45 against 42, a gain of 3 points. But its downside is 39, which triggers review, while History's downside is 41, which is safe. The extra 4 study days for Geography are not free: if they reduce L1 or L2 preparation by even 1 point each, the expected gain of 3 is largely or entirely lost. If they cost 2 points each, Geography becomes worse in expectation as well as riskier.
For a candidate with a university offer and a 60% target, stability matters. The recommended choice is History unless the candidate has a specific reason to need the extra 3 points and can protect L1 and L2 time. A defensible conditional rule is: choose Geography only if a day-3 mock oral in German scores at least 14/20; otherwise switch to History. That rule uses the expected gain without ignoring the vocabulary downside. If the candidate cannot commit to that checkpoint, History is the better judgement call.
3. Suppose the candidate chooses the higher-risk option and scores 11/20 in the third oral. Explain the consequence under the school rule and one realistic mitigation the candidate could have agreed with the school beforehand.
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If the third oral is Geography and the score is 11, the total is 16 + 12 + 11 = 39. Each oral paper is still at least 10, so the candidate does not automatically fail an individual oral. But the total is below 40/60, so the school rule triggers a diploma-board review. The consequence is uncertainty and possible compensatory conditions, not an automatic zero.
A realistic mitigation would have been a pre-agreed switch rule: the candidate sits a mock Geography oral three days before the exam, and if the mock is below 14/20, they switch to History while the timetable still allows it. A second mitigation is a German terminology drill with a glossary and a teacher-run question session, agreed in advance, so the vocabulary risk is reduced before the choice is finalised. After the exam, the board review can consider the near-miss, but the candidate should not rely on that; the mitigation belongs before the choice is locked in.