Expected maximum of two dice

Two fair six-sided dice are rolled. What is the expected value of the larger of the two values (the maximum)? Give a decimal to two places.

Show hints (2)+
  1. Find P(max ≤ k) first - both dice ≤ k.
  2. Differences of the CDF give the pmf.

Answer

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4.47 (± 0.05)

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Asked at: Timed Mental-Math & Sequences, Game-Based Aptitude, ETF Market-Making

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