Large sum given a six

Two fair six-sided dice are rolled; you learn at least one shows a 6. What is the probability the sum exceeds 9? Give your answer as a decimal (to 2 decimals).

Show hints (2)+
  1. Count the 11 ordered outcomes that contain at least one 6.
  2. Among those, which give a sum of 10, 11, or 12?

Answer

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0.45 (± 0.01)

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