Complete · 60 Days37 / 188
MediumProbabilityAcceptance 71%
Expected Min of Two Dice
OptiverSIG / Susquehanna
Two fair dice are rolled. What is the expected value of the smaller of the two (ties count as that value)?
Approach
Use that min + max = sum of the two dice.
E[max] = 161/36.
Answer
Show the final answer
The answer is 91/36. Sign in free for the full worked solution and to check your own answer.
Related problems
Flips Until First HeadEasyTwo Dice Sum to 7EasyTop Two AcesMediumExpected Max of Two DiceMediumExpected Rolls for a SixEasyAt Least One SixEasy
More in Probability.