median
don steward
mathematics teaching 10 ~ 16

Sunday, 15 January 2012

stop the compass

Dan Meyer poses the question:

you choose blue or purple

if  a spinner lands on the colour you chose you win that amount





which region would you pick for this picture?
  • if the spinner stops on purple and you have chosen it, you get $200 
  • if it stops on blue and you have chosen it you get $100
  • if it stops on the other colour to the one you chose, you lose

an image from Dan (on Vimeo) sets up the problem:
where/when would you stop choosing the purple?

elsewhere, there is a 'Geogebra' programme that simulates the spinning

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