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  • Five Heads, Five Tails

     Puzzle Prime updated 3 months ago 2Members · 3 Posts
    Puzzles

  • Puzzle Prime

    Administrator
    November 5, 2018 at 6:23 pm

    If you throw a fair coin 1000 times, what is the expected number of occurrences of 5 heads followed by 5 tails?

  • Vivek

    Member
    October 20, 2020 at 3:15 pm

    990/2^10 ? I tried using indicator variables. But not sure of the answer. Is there any other way?

  • Puzzle Prime

    Administrator
    October 20, 2020 at 3:59 pm

    Yeah, this is the simplest solution. Just use linearity of expectation to reduce to 990 times the probability of HHHHHTTTTT. Good job! 🙂

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