A three given a sum divisible by three

Two fair dice are rolled. Given that their sum is divisible by 3, what is the probability that at least one die shows a 3? Give a decimal to four places.

Show hints (2)+
  1. Which sums are divisible by 3? Count the ordered pairs for each.
  2. Among those 12 outcomes, which contain a 3?

Answer

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0.25 (± 0.001)

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Asked at: Timed Mental-Math & Sequences, Options Market-Making

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