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  • Throwing a Hundred Sided Dice

     Puzzle Prime updated 1 year, 9 months ago 2 Members · 3 Posts
  • Puzzle Prime

    Administrator
    October 16, 2018 at 11:35 pm

    Two people are taking turns throwing a hundred sided die. The game continues until someone throws a number larger than the number thrown by the opponent on the previous turn. What is the probability that the person who throws first wins the game?

    Example: 4 – 3 – 3 – 2 – 5 => First player wins
    Example: 6 – 3 – 2 – 1 – 1 – 4 => Second player wins

  • Josefina

    Member
    November 5, 2018 at 6:58 am

    What type of assumption do we have to make over here?

  • Puzzle Prime

    Administrator
    November 5, 2018 at 1:58 pm

    Assume that the die is fair, i.e. there is 1% chance that it lands on any of its sides. Also, the outcome of every throw is independent of the previous outcomes.

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