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BEBRAS 2026 Grade 11-12 Round 2 Ext Question 9

BEBRAS · BEBRAS 2026 Grade 11-12 Round 2 Ext

Question 9

A translation system supports languages A,B,C,D,E. Its accuracy for each pair lies between 0.0 and 1.0, with larger values better, as in the table.

Question illustration

Accuracy through intermediate languages is the product of the accuracies used. For example C→A has accuracy 0.2, while C→B→A gives 0.5×0.9=0.45>0.2. Consider A→D, B→A, C→B and D→B. For how many can an indirect translation be strictly more accurate than the direct one?
  1. 0
  2. 1
  3. 2
  4. 3