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Mathematical Objects: A hat

Mathematical Objects

A conversation about mathematics inspired by a hat. Presented by Katie Steckles and Peter Rowlett.

A red hat and a blue hat
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2 Responses to “Mathematical Objects: A hat”

  1. Avatar Linda

    For the “100 hats in a line, shout a colour starting from the back of the line” puzzle, am I being too simplistic by simply saying “Shout out the colour of the hat of the person in front of you” ? That would also give a 99.5% success rate.

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    • Avatar Paul Taylor

      The problem with that strategy is that the person behind you tells you what colour your hat is, but you can’t use that information because you’re committed to using your turn to tell the person in front of you about their hat. You could have people alternate between helping the next person and saving themselves, but that only gets you 75%.

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