Expectation · Dice · difficulty 3 of 5
The second highest die
You roll 3 fair six-sided dice and sort them from highest to lowest. Ties count as separate dice, so a roll of 6, 6, 2 has 6 as its second highest. What is the expected value of the second highest die?
Answer with an expected value. First lock in a gut guess with an 80% range, then solve it properly, then watch a simulation settle on the truth.
More expected value puzzles
- Counting streaks · Coin flips
- Heads and tails both · Coin flips
- Letters in the right envelopes · Mail
- Out-of-order pairs · Cards
- The best of the dice · Dice
- The gap between two dice · Dice
All expected value puzzles · All puzzles · Market making game