350.Six Sixes in a Row
★★★expected valueJump Trading
A fair six-sided die is rolled repeatedly. What is the expected number of rolls needed to first see six consecutive sixes?
Sign in to submit an answer and track it toward your stats.
Sign inHint
Let E_k be the expected extra rolls when you already hold a run of k sixes, and relate consecutive states. A failure destroys the whole run, not part of it.
Want timed drills, mental math, and a market-making game too? Try the full practice suite →