Numberphile – The Most Powerful Dice

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An evening pause: Hat tip Edward Thelen, who adds, “Probability can be counterintuitive.”



  • wayne

    you might like this as well:

    (Discuses the non-transitive nature of voting.)
    Chapter 23 from “Networks, Crowds, and Markets: Reasoning about a highly connected World” -2010


    “Arrow’s Impossibility Theorem”
    from “A Difficulty in the Concept of Social Welfare” 1950

    “In short, the theorem states that no rank-order electoral system can be designed that always satisfies these three “fairness” criteria:
    –If every voter prefers alternative X over alternative Y, then the group prefers X over Y.
    –If every voter’s preference between X and Y remains unchanged, then the group’s preference between X and Y will also remain unchanged (even if voters’ preferences between other pairs like X and Z, Y and Z, or Z and W change).
    –There is no “dictator”: no single voter possesses the power to always determine the group’s preference

  • Ted

    I know there is something important here…. I just wish I could get my wife to balance the checkbook.

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