The Essentials10 / 34
MediumProbability
Expected Max of Two Dice
OptiverIMC Trading
Two fair six-sided dice are rolled. What is the expected value of the larger of the two (ties count as that value)?
Approach
Find P(max = k) by counting pairs whose larger value is k.
Related problems
Flips Until First HeadEasyTwo Dice Sum to 7EasyTop Two AcesMediumExpected Min of Two DiceMediumExpected Rolls for a SixEasyAt Least One SixEasy
More in Probability.