Valkyrie Trading interview questions

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Sources: Glassdoor: Valkyrie junior trader

Questions (1)

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Junior Trader · Interview · Markov chains · reported by a candidate

You roll a fair die until you get two 5s in a row.

  1. What is the expected number of rolls?
    Answer and worked solution

    Answer: 42

    Key idea. States: no progress (E₀), just rolled a 5 (E₁).

    1. E₁ = 1 + (5/6)E₀.
    2. E₀ = 1 + (1/6)E₁ + (5/6)E₀, so E₀ = 6 + E₁.
    3. E₀ = 6 + 1 + (5/6)E₀, so E₀ = 42.

    Check. Shortcut: 6 + 6² = 42.

Source: Glassdoor · Try it in the app →

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