- Measuring Randomness
the present always influenced by the past? Suppose you are flipping
a coin and, by chance, flip three heads in a row. Does flipping
three heads in a row affect the next flip-the fourth flip-or not?
Is the fourth flip more likely to be another head? Or is
the fourth flip less likely to be a head?
3 - Modeling Random Motion
Do you believe in "winning streaks,'' meaning that three
heads in a row is more likely to lead to a head on the
next flip? Why do you believe in winning streaks?
Or do you expect your "luck to run out,'' meaning that three
heads in a row is more likely to be followed by a tail
on the next flip? Why do you believe that your luck can
Or do you expect equal chances of getting a head or a tail on
the next flip, independent of what happened before? Why
do you believe that the next flip is independent.