How many sixes on the die?

A fair 1818-sided die has each face labelled either 66 or 33. Its expected roll value is 44. How many faces show a 66?

Show hints (2)+
  1. Let kk faces be 66 and 18k18-k be 33; write the average and set it to 44.
  2. Solve 6k+3(18k)18=4\frac{6k+3(18-k)}{18}=4.

Answer

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6

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Asked at: IMC, Akuna Capital

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